What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division

Answers

Answer 1

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1


Related Questions

A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x

Answers

Answer:

Option (4)

Step-by-step explanation:

Area of a rectangle = Length × width

If the dimensions of the given rectangle is doubled,

Area of the new rectangle = 2(Length) × 2(width)

                                            = 4(Length × width)

                                            = 4(x)(x - 2)

                                            = 4[x² - 2x]

                                            = 4x² - 8x

Therefore, Option (4) will be the correct option.

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

look at graph

1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12

Answers

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.

x+ y= 24

3.50x + 5.00y = 97.50

Solve the system of equations. How many 10 oz. boxes were sold?

6
9
12
15

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.

How old is Marjorie?

Answers

Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)

Answers

u would equal 7.8 :)))))))

Solve the proportion:

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

cross multiply

9*10=90

90/6=15

simplify 6 + 15 x 72=

Answers

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

how many times can 42 go into 278?

Answers

it can go around 6 times

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(- 1, - 8 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(1, 8 ) → (- 1, - 8 )

Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?

Answers

Answer:

Distance = 21.0049 inches

Step-by-step explanation:

Given the following data;

Speed = 3.395 inches per minute.

Time = 6.187 minutes

To find the distance;

Distance = speed * time

Substituting into the equation, we have;

Distance = 3.395 * 6.187

Distance = 21.0049

The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?

Answers

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

What is the value of the equation -2/3x + 9 = 4/3 x -3?​

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x -12\\\\x = \frac{-12}{-2}\\\\x = 6[/tex]

Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4

Answers

Answer:

1

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1

Find the width of the Brady river.

Answers

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

Plz help Me on this question

Answers

Answer:

what is it

Step-by-step explanation:

Answer:

Naruto

Step-by-step explanation:

Uzmaki

what is the (gcf) of 18 and 72?

Answers

Answer:

18

Step-by-step explanation:

The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).

Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.

18 = 2 * 9 = 2 * 3 * 3  ⇒  notice that while 9 isn't a prime number, 2 and 3 are

72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3  ⇒  again, 2 and 3 are primes

In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.

Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.

18 because 72 can be divided by 18

i need help !! asap please !!!

Answers

They should all equal 62°
a=62°
B=62°
C=62°
D=62°

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Answers

dark blue is the answer

(3,1) is the answer

Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.

Answers

Answer: C

Step-by-step explanation: Just did khan academy

what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10

Answers

Answer:

2 ( 3m -10) (3m+10)

Step-by-step explanation:

18m^2-200

Factor out 2

2 ( 9m^2 -100)

We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)

2 ( ( 3m)^2 - 10^2)

2 ( 3m -10) (3m+10)

45% of _____________is 165

Answers

Answer:

366.666666  

Step-by-step explanation:

Let the number be x

45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666  


Help please I would really appreciate it

Answers

Answer:

Step-by-step explanation:

4x+81=13x+36

answer is 5°

helpppppp me plssss
uh

Answers

Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

=n+2-2n-1

=n-2n+2-1

=-n+1

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

Please explain how you answered it along with your answer - thanks

Answers

Answer:

B

Step-by-step explanation:

Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6

Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11

Then you find the intersection so the answer is B

Write the equation of the line in slope-intercept form and general form.

(4, 2) (-3,9)

Answers

Answer:

y = -7x + 30

Step-by-step explanation:

Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?

Answers

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

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