Create the polynomial which has roots 3and 2

Answers

Answer 1

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

Given a root of a polynomial x = a then the factor is (x - a)

Here the roots are x = 3 and x = 2 , thus the corresponding factors are

(x - 3) and (x - 2)

The polynomial is then the product of the factors, that is

f(x) = (x - 3)(x - 2) ← expand using FOIL

      = x² - 5x + 6

Answer 2
Since this polynomial has answers 3 and 2, we can set up the equation (x-3)(x-2) = 0

That’s already our answer, but if you want it in standard form, We can use FOIL to multiply the 2 expressions:
(x-3)(x-2)
=x^2-3x-2x+6
=x^2-5x+6

Related Questions

whats 8989898 x 675 lol

Answers

Answer: 6068181150 lol

Step-by-step explanation:

9998799098

Step-by-step explanation:

idrk

In the figure shown, t || X and k l w and m23 = 20° Choose the list which includes all of the other angles that measure 20°
1615
13 14
1\2
43
k
11 10
129
5 6
87
w
0 A 1
B. 1, 5, 7
C. 1. 14. 16
0 D. 1.5. 7. 9, 11, 14, 16

Answers

Answer:

D. 1, 5, 7, 9, 11, 14, 16

Step-by-step explanation:

The following angles has the same measure as <3 = 20°:

m<7 = m<3 (corresponding angles are congruent)

m<5 = m<3 (alternate interior angles are congruent)

m<1 = m<3 (vertical angles are congruent)

m<14 = m<3 (corresponding angles are congruent)

m<16 = m<3 (alternate exterior angles are congruent)

m<9 = m<14 = m<3 (corresponding angles are congruent)

m<11 = m<9 = m<3 (vertical angles theorem and corresponding angles theorem)

Therefore, angles labelled D. 1, 5, 7, 9, 11, 14, and 16 all have the measure of 20°.

What property is this an example of ... 56 + 82 = 82 + 56?

Answers

Answer:

Inverse equations

Step-by-step explanation:

Answer: Commutative Property

Step-by-step explanation:

a + b = b + a

What is the result when 4x3 + 4x² + 13x + 6 is divided by 2x + 1?

Answers

Answer:

2x^2+x+6

Step-by-step explanation:

if the 4x3 meant 4x^3, then im pretty sure this is the correct answer

I WILL MARK BRAINLEST I NEED THIS NOW THOUGH...

Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)

Hint: 1 find slope y-y/x-X

2. Use first point for writing equation (2, 3)

Show Your Work

Answers

Answer:

Use (2, 3) and (5,7) and put in Pt Slope Y-y1 = m ( x - x1)

The slope is 7-3/5-2

So the answer is 4/3

Hint: 1 find slope y-y/x-X

2. Use first point for writing equation (2, 3)

Show Your Work

Step-by-step explanation:

Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)

Answers

9514 1404 393

Answer:

  y = 2/3x -23/3

Step-by-step explanation:

In a version of point-slope form this is ...

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

Expanding this, we have ...

  y = mx +(k -mh) . . . . slope-intercept form

For the given point and slope, the equation is ...

  y = 2/3x +9 -2/3(2)

  y = 2/3x -23/3

Answer:

can you provide more information

Step-by-step explanation:

You start at (3,-2). You move down 1 unit and up 3 units. Where do you end?

Answers

Answer:

3,0

Step-by-step explanation:

The y coordinate goes down one unit to -3, then up 3 units to 0.

Is the relation represented in this table a function? Helppp

Answers

The answer is no because the numbers are repeated

What is the fraction to this equation 0.020


Pls help fast.

Answers

Answer: 1/50

Step-by-step explanation:

0.020 = 20/1000 = 1/50

Find the domain of the function expressed by the formula: y=x²+8
Please help ASAP.

Answers

Answer:

x is all real numbers.

Step-by-step explanation:

The domain of a function is a set of all real numbers.

It’s due tomorrow please someone help

Answers

Answer:

15a is 32oz   18c is 10

Step-by-step explanation:

230.071 in expanded form

Answers

200+30+0+0.70+0.01

Hope it's right

Answer:

Expanded Notation Form:

 200  

+ 30  

+ 0  

+   0.0

+   0.07

+   0.001

Expanded Factors Form:

 2 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 7 ×   0.01

+ 1 ×   0.001

Expanded Exponential Form:

2 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 7 × 10-2

+ 1 × 10-3

Word Form:

two hundred thirty and seventy-one thousandths

Step-by-step explanation:

1. The video store rented 42 videotapes on
Monday, 35 on Tuesday, 51 on
Wednesday, and 32 on Thursday. What
was the average number of videotapes
initially rented per day from Monday to
Thursday if all were one-day rentals?
A. 37
B. 38
C. 40
E. 54

Answers

Answer:

C. 40

Step-by-step explanation:

average = (42 + 35 + 51 + 32)/4 = 40

Answer: C. 40

-40-2(3m+1/2)=7m-2 what does m equal

Answers

Answer: [tex]m[/tex] = −3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−40 − 6[tex]m[/tex] − 1 = 7[tex]m[/tex] − 2

Step 2: Simplify −40 − 6[tex]m[/tex] − 1 to −6[tex]m[/tex] − 41.

−6[tex]m[/tex] − 41 = 7[tex]m[/tex] − 2

Step 3: Add 6[tex]m[/tex] to both sides.

−41 = 7[tex]m[/tex] − 2 + 6[tex]m[/tex]

Step 4: Simplify 7[tex]m[/tex] − 2 + 6[tex]m[/tex] to 13[tex]m[/tex] − 2.

−41 = 13[tex]m[/tex] − 2

Step 5: Add 2 to both sides

−41 + 2 = 13[tex]m[/tex]

Step 6: Simplify −41 + 2 to −39.

−39 = 13[tex]m[/tex]

Step 7: Divide both sides by 13.

−[tex]\frac{39}{13}[/tex] = [tex]m[/tex]

Step 8: Simplify [tex]\frac{39}{13}[/tex] to 3.

−3 = m

Step 9: Switch sides.

[tex]m[/tex] = −3

~I hope I helped you! :)~

for a walkathon a sponsor committed to give you a flat fee $5 plus $2 for every mile m you walk.
A.write an expression for the total amount you will collect from your sponsor at the end of the walkathon

B. then evaluate your expression for 20 miles walked

Answers

5a x 2m= I hope that’s close to what you’re needing.

Solve the equation and enter the value of x below.
x + 29 = 49
X =

Answers

Answer:

x = 20

Step-by-step explanation:

x + 29 = 49

- 29       - 29

x=20

One-fourth of a number is 22. Find the number.

Answers

Answer:

5.50

Step-by-step explanation:

I am smart

Write 3/4 cup per 1/2 serving as a unit rate

Answers

Answer: Unit rate = 1 1/2 cups per serving

Step-by-step explanation:

1/2 serving has = 3/4 cup

1 serving will have = 3/4 1/2 = 3/4 x 2/1 = 6/4 = 6 ÷ 2/ 4 ÷ 2 = 3/2 = 1 1/2cups

How do you write 31 billon in scientific notation

Answers

Answer:

3.10E+10 (3.10 x 10 10)

Step-by-step explanation:

If neither a nor bare equal to zero, which answer most accurately describes the product of (a + b)(a - b)?

Answers

Answer:

a² - b²

Step-by-step explanation:

We can recognize (a + b)(a - b) as a difference of squares.

Step 1: Write expression

(a + b)(a - b)

Step 2: FOIL (Expand)

a² - ab + ab - b²

Step 3: Combine like terms

a² - b²

eleven times one number is 9 more than 8 times another number. the first number minus four is half the second number. find the numbers.

Answers

Answer:

haha...the first number is 55 & the second number is 102.

if am right, pls sende more of this question or even more complicated quest of this type.

What is 9% of 31? Do not round, write the exact amount

Answers

Answer:

2.79

Step-by-step explanation:

Need help with this problem

Answers

Answer:

y = -3x + 8

I've done the steps in the photo

Hope it helps (。・ω・。)

Answer:

y = - 3x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)

m = [tex]\frac{5+16}{1-8}[/tex] = [tex]\frac{21}{-7}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 5 ) , then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 ← equation of line

expand and simplify (x-1)(x-3)

Answers

Answer:

x squared -3x-1x+4= x squared -4x+4

The zeros of the quadratic x^2+4x=-2x+16 are x=-8 and x=2. What does this tell you about the graph of this quadratic function?

a. The parabola crosses the x-axis at x=-8 and x=2.
b. The parabola touches the x-axis only at and x=2.
c. The parabola does not touch or cross the x-axis.
d. The parabola crosses the x-axis at x=-8 and x=2 but you can ignore the zero x=-8 because it is negative.

Answers

The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).

What are zeros and graph of an quadratic equation?

Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.

To find zeroes we can use quadratic formula that is

x = (-b ±√(b²-4ac))/2

Graph of the quadratic equation are points ( x , y(x) )

where y(x) =  ax² +bx +c

when x= t is zero of quadratic equation ax² +bx +c = 0

then y(t) = 0

(t, 0) points are points on the x-axis.

Given an quadratic equation

x²+4x=-2x+16 has roots x =-8 and x =2

This can we written as  x² +6x -16 =0

The graph of  this quadratic equation is given by (x, y(x))

where y = x² +6x -16 which is a parabola

for x= -8 and x= 2 , y(-8) =y(2) = 0

Then (-8,0)  and (2,0) are points on this parabola which are at x-axis

Therefore, the parabola y = x² +6x -16  crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.

Also learn more about the quadratic equations from the link below:

https://brainly.com/question/1863222

#SPJ2

RrrrrrrRawrrrr
RAWRRR

Answers

Answer:

nsbdhdhshsnsnsbdbxbxb

Step-by-step explanation:

bshdhdhdhdhd

Haha yes lions and tigers go rawrrrrrr

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?

Answers

Answer:  

T=78 feet (Tennis court)

360 feet (Football Filed)

Step-by-step explanation:

4T+48 = T+282

The length of the football field is 360 feet.

The length of the tennis court is 78 feet.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.

And,  It is also 282 feet longer than a tennis court.

Let the length of the tennis court = x

So, The length of the football field = 48 + 4x

Here, The length of the football field is 282 feet longer than a tennis court.

So, We get;

⇒ 48 + 4x = 282 + x

⇒ 4x - x = 282 - 48

⇒ 3x = 234

⇒ x = 78

Thus, The length of the football field = 48 + 4x

                                                         = 48 + 4×78

                                                         = 48 + 312

                                                          = 360 feet

The length of the tennis court = x

                                              = 78 feet

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.

Answers

Answer:

3 days.

Step-by-step explanation:

Based on the information provided we see that roughly 60% of the days in January have 6ft+ waves then we would need to use this value to calculate the number of days that are good for surfing. We calculate this by multiplying the number of days that you can surf by 60% using the equation below as r being the actual total amount of days....

r = 6 * 0.60%

r = 3.6

As we can see that there are roughly 3 days that see this amount of wave activity between the 6 chosen dates. We have to round down because we are talking about full days and 3.6 does not meet a fourth full day.

I NEED HELP RIGHT NOW!!! PLEASE!
what is the value of 5 in 0.459

Answers

Answer:

Place value= hundreds place

or, 0.05

What is the value of each digit in 28.6597

Answers

Answer:

1. 20 (tens)

2. 8 (ones)

3. 0.6 (tenths)

4. 0.005 (Hundredths)

5. 0.0009 (thousandths)

6. 0.00007 (ten thousandths)

i hoped this helped!

Step-by-step explanation:

The accepted method for representing both integer and non-integer numbers is the decimal numeral system.

What are decimal numbers?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given the decimal number is 28.6597. The value of each digit in the decimal number will be calculated as,

1. 20 (tens)

2. 8 (ones)

3. 0.6 (tenths)

4. 0.005 (Hundredths)

5. 0.0009 (thousandths)

6. 0.00007 (ten thousandths)

To know more about decimal numbers follow

https://brainly.com/question/29622901

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