Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.

(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)

Answers

Answer 1
If x = 5 is a zero of the given polynomial, then,(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]Now, divide the polynomial with (x - 5) using long division method. (See the picture)We get (x^2 - x - 6) as the quotient.Now, factorise the above polynomial:(x^2 - x - 6) = (x^2 - 3x + 2x - 6) = x(x - 3) + 2(x - 3)= (x - 3)(x + 2)Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find The Factors Of F(x) Given That X = 5 Is A Zero.f(x) = X3 6x2 X + 30. (x 5)(x + 3)(x 2) (x 5)(x 3)(x

Related Questions

EASY 25 POINTS

Please help me with this math problem it is due tomorrow.

Answers

Answer:

D

Step-by-step explanation:

please help me with this question

at the first blank there are options either (y-intercept, slope, x-intercept)

second blank (positive, negative, 0, a whole number)

Answers

Answer:

y-intercept

zero

Step-by-step explanation:

We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

PLEASE HELP!! With explanation/solution please!!

Answers

Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

Answer:

Step-by-step explanation:

here is an explanation:

2p²-p+4+p²+p+1=3p²+5

You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused  :) <3


f(x) = -x - 14
Find x if f(x) = -2

Answers

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12

Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2

Answers

Answer the mathematical

What part of 28 is 17?

Answers

17 is 60.7% percentage of the number 28.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Identify the diameter of the circle

Answers

The answer is O. The diameter of a circle is basically the length of one side to another. The radius is half of the diameter. I hope this helps :) have a good day/night!

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12​ miles per hour. Raul rides his bike 10​ miles per hour. Together, they travel a total distance of 34​ miles.

Answers

We know

[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]

[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]

Let hours be x

[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]

[tex]\\ \sf\Rrightarrow 22x=34[/tex]

[tex]\\ \sf\Rrightarrow x=34/22[/tex]

[tex]\\ \sf\Rrightarrow x=17/11[/tex]

[tex]\\ \sf\Rrightarrow x=1.5h[/tex]

To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?​

Answers

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

Select the correct answer.
Which expression is equivalent to the difference shown?
5/m - m+8/ m^2-4m

Answers

The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a expression:

[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]

To simplified the above expression take the LCM  [tex]\rm m^2-4m[/tex]

[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]

[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]

[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]

[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]

Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

-0.5 (bar over 5) as a fraction simplified

Answers

Answer:

5/9

step by step follow up

Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches

___in.

Answers

Answer:

60

Step-by-step explanation:

your welcome

This scatter plot shows the number of baskets made and the time in minutes that has passed.

Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 16 minutes?


4 baskets

7 baskets

14 baskets

20 baskets

Answers

Scatter plots are used to relate variables using scattered dots.

The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

From the graph, we can see that the number of baskets made in 14 minutes is 12.

Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.

This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.

The closest to 12 baskets in the option is 14.

Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

Read more about scatter plots at:

https://brainly.com/question/6592115

10. Given m and b, write the equation of the line:

m=-4; b=2

Answers

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

Help me plsss pls psl​

Answers

It’s b
it’s not A because it’s not percentages it’s decimals using boxes as an example

Answer: A, B, D

it can’t be “C” because that would be equal to 40%

Identify the solution set of the inequality, using the given replacement set.


x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}

1.{–10, –4.3, –4}


2.{–4, –3.9, 2}


3.{–10, –4.3}


4.{–3.9, 2}

Answers

Step-by-step explanation:

es el número 4[-3.9,2] esta es la respuesta

Solve for the variable PLEASE HELP

Answers

Answer a+ 4 - a-7 a-7 _5 = 37_6

Step-by-step explanation:

Answer:

a=-7

Step-by-step explanation:

Find least common multiplier

LCM=105

Multiply to function

a+4/3 *105- a/7= 105* a+7/5

Simplify

35(a+4)-15x=21(a+7)

Expand

20a+140=21a+147

Subtract 140 from both sides

20a=21a+7

Subtract 21a from both sides

-a=7

Divide both sides by -1

-a/-1=7/-1

a=-7

Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .

Answers

Answer: $42

Step-by-step explanation:

Tyler's brother Works
Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour.
After the raise, how much will Tyler's brother make per hour?

Answers

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

Answer:

$12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

and 12 + 0.60 = 12.60

Hope it makes sense

how many students are in the year group?

Answers

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

answer for this question plz

Answers

Step-by-step explanation:

in that case we can imagine a diagonal line DB that splits the quadrilateral into 2 right-angled triangles: ADB and CDB.

the area of the quadrilateral is then the sum of the areas of the 2 triangles.

the area of a right-angled triangle is

leg1 × leg2 / 2

with the legs being the sides that enclose the 90 degree angle.

so, for ADB we get

AD × AB / 2 = 3 × 11 / 2 = 33/2 = 16.5

for CDB we get

BC × CD / 2 = 7 × 9 / 2 = 63/2 = 31.5

so, in total for the area of the quadrilateral we get

16.5 + 31.5 = 48

PLEASE HELP QUESTION IN PICTURE

Answers

i think it's A! definitely not C or D

how to simplify -5 1/4 - (-7 1/2

Answers

(hopefully I read this right)

-5 1/4 - (-7 1/2)

-5 1/4 - -7 1/2

-5 1/4 - -7 2/4

-21/4 - -30/4

-21/4 - -30/4 = 9/4 = 2 1/4

Hopefully I am correct!

35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...

Answers

Answer:

40th term = -1187

                 

question 19 of the attachment below

Answers

Answer:

The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done

Step-by-step explanation:

Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle

Area of regular hexagon ABCDEF with side [tex]x[/tex]

[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]

Area of regular hexagon FGHIJK with side [tex]px[/tex]

[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]

Area of shaded region

[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]

Is -9 a real or imaginary number?

Answers

A real number is a number that can represent any continuous quantity.It includes both rational and irrational numbers.Since, -9 is a rational number, then it is a real number.

Answer:

-9 is a real number.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Which correlation coefficient best matches the graph?

Answers

Answer:

The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.

I need a answer as soon as possible

Answers

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

Answer:

67°

Step-by-step explanation:

A line is 180° so subtract the 113°

180 - 113 = 67°

hope that helps and have a great day :D

Please answer this question Step by Step method.

If it is correct you will get a thank you and 5 stars from me.

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter P is the sum of the 4 sides of the rectangle.

The opposite sides of the rectangle are congruent , then

P = 2x + 1 + 2x + 1 + x + x ← collect like terms

P = 6x + 2

Other Questions
Which is equivalent to the following expression? (2x - 1)(x + 3) Which is the best phrase to eliminate because it is neither precise nor domain specific?. Read the poem "Bacchus's Regret" by Hunter Doyle and answer the question. [1] King Midas returned my beloved teacher to me, so I rewarded him with a wishwhatever he wanted would be. Midas cried, "Give my fingers a golden touch! Then, I shall have a gilded kingdom and such." [5] I tried to make him see the err of his choice, but he would not heed the caution in my voice. I pleaded with Midas, "Be careful what you choose, for you're only thinking of what you'll gainnot what you'll lose." [9] His thirst for wealth became no match for his appetite; after all, a gold apple is not something one can bite. His daughter wept for her poor starving dad, so he wiped her tears and told her not to be sad. [13] Into a golden statue Midas's daughter became, and he and his greedy wish were ultimately to blame. Yet, maybe if I had put up more of a fight and a fret, then I wouldn't have to live with all this regret. Select the line that best supports the theme greed can have negative consequences. HELP ME PLEASE, I need help and dont understand at all ! Please help!A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 4 seconds, the rock is traveling 128 feet per second.a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).b. Use this equation to determine the speed of the rock 7 seconds after it is dropped. 10. Given m and b, write the equation of the line:m= -4; b = 2 Sarah is a detall-oriented programmer. While testing her program, what other skill would she have to apply in order to detect all bugs? matching i just need to match the definition w the actual thing Bonjour, quelqu'un peut m'aider? Le pome s'intitule "le Lac" does the table represent a function, -3, 6, -2,9, 0,4, -2,5 1. a. Describe In the 1800s, what new opportunities did women in various social classes have outside the home? Simplify:(8)214+(8)(12) plz help :( Please look for the question in the picture. To which Earth system do people belong?a) biosphereb) geospherec) hydrosphered) atmospheree) None of the listed responses is correct pro's and con's of decriminalizing drugs to end the war on drug in the US. Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response. An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars. PLZZ HELP, Best answer gets brainliest!To _____________ means to resemble or become part of a whole.assimilatesegregatecompelprosper ILL GIVE BRANNIEST Explain in 2 paragraphs with 5-7 sentences telling what you thought and what kind of optical illusion art you would like to try to make one day solve for A and line AB