Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:

a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)

b) What are the zeros of the polynomial? Show any work necessary in solving.

Answers

Answer 1

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps


Related Questions

23 kg of potatoes cost $138. How much would 7 kg cost? lol i haven't done this in a while and there just now telling us to do it

Answers

Answer:

$42

Step-by-step explanation:

138/23 = $6 per kg

6*7 = 42

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Answers

POINT A I had the same question in my math class !!!

ill give brainliest if it’s right

Answers

Answer:

Yes, the number is in scientific notation. Answer should be D.

Step-by-step explanation:

Answer:

yes thats correct.

For it to be in scientific notation the first part is a number between 1 and 10, and the second part is a power of ten

write an algebraic equation to represent the situation

3 increased by twice the number of dollars Rhonda made yesterday was 12.

A. 3d+2=12
B.2d×3=12
C.2d+3=12
D.3d×2=12​

Answers

Answer:

C. 2d+3=12

Step-by-step explanation:

Find the product
-8.4 x–7.6

Answers

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

What is the correct percent for a quiz score of 25 points out of 36?

Answers

Answer:

the answer is 69%

it's just 25/36=0.6944444444.....

then multiply by a hundred= 69.44444444...=69%

hope this helps and feel free to give brainiest

What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1 Over StartRoot 3 EndRoot EndFraction

Answers

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

To find:

The value of [tex]tan60^\circ[/tex] = ?

Solution:

Kindly consider the equilateral [tex]\triangle ABC[/tex] as attached in the answer area.

Let the side of triangle = [tex]a[/tex] units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = [tex]\frac{a}{2}[/tex]

Using Pythagorean Theorem in [tex]\triangle ABD[/tex]:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

Side AD = [tex]\frac{\sqrt3}{2}a[/tex]

Using Trigonometric ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanB = \dfrac{AD}{BD}[/tex]

Putting the values of AD and BD:

[tex]tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}[/tex]

Martin Lukarevski, a super-hard problem published by Cambridge:

Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.

Answers

Answer:

Yagub Muallim is watching, grave is loading .

Step-by-step explanation:

When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?

Answers

10:60=x:750

10*750=60*x
7500=60x
x=125

Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2): a) 180° rotation about the origin b) dilation with scale factor of 2 using the origin as the center

Answers

Answer:

[tex]L" = (-6,0)[/tex]   [tex]M" = (-8,-6)[/tex]   [tex]N" = (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]L = (0,3)[/tex]

[tex]M = (3,4)[/tex]

[tex]N = (1,2)[/tex]

Required

Determine the new coordinates of L, M and N

Applying (a): 180 degrees rotation about the origin

When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]

So:

[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]

[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]

[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]

Applying (b): Dilation of scale factor, 2

The formula to apply here is;

[tex]New = Old * Scale\ Factor[/tex]

So:

[tex]L' = (-3,0)[/tex] becomes:

[tex]L" = L' * 2[/tex]

[tex]L" = (-3,0) * 2[/tex]

[tex]L" = (-6,0)[/tex]

[tex]M' = (-4,-3)[/tex] becomes:

[tex]M" = M' * 2[/tex]

[tex]M" = (-4,-3) * 2[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N' = (-2,-1)[/tex]

[tex]N" = N' * 2[/tex]

[tex]N" = (-2,-1) * 2[/tex]

[tex]N" = (-4,-2)[/tex]

Hence;

The new coordinates are:

[tex]L" = (-6,0)[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N" = (-4,-2)[/tex]

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be
used to find the number of tickets sold in advance?
800-8 100
O 35--8" 4.375
O
100-8 12.5
800-8100
35x8 280
800X8 6400
O
35x8 280
100x8800

Answers

Answer:

35% of 800

35% = 0.35

0.35 × 800 = 280

Your answer is 280 tickets ; 0.35 × 800

Answer both question carefully. All help needed on this. Thank you!

Answers

Answer:

9) It will be congruent to the original image. Or stay the same.

10) It gets enlarged

Step-by-step explanation:

What is the measure of angle ABC?

A. 130
B. 40°
C. 85°
D. 170

Answers

Answer:

what is the shape and can I have a pic of what it looks like

C.85 espero ter ajudado

PLS HELP ILL MARK YOU AS BRAINLESS WHATS THE ANSWER TO THESE QUESTIONS

Answers

1st is One Third 1/3
2nd is Five Sixth 5/6

1/3 5/6 HOPE THIS HELPS!!!!!!!!!

how to win a bey blade that stronger than you?

Answers

Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.

Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.

Step-by-step explanation:

1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry

Answers

I so the first one the solution is -238.6 hope it helps

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be
found using the formula p(n)= 14 + 3h. What is the price to rent a bike for
5 hours?

Answers

Answer: 29$

You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)

The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.

Then the price to rent a bike for 5 hours will be given as,

p(5) = 14 + 3(5)

Simplify the equation, then we have

p(5) = 14 + 15

p(5) = 29

The price to rent a bike for 5 hours will be $29.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

A photographer for sells photographs for $20 each an art show he spent 185 to print the photographs and made a profit of 55 at the art show what is the equation

Answers

Answer:

260

Step-by-step explanation:

In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205) Find the slope and y-intercept. Explain what each represents.

Answers

Sample answer: the slope of this scenario is 745. The slope represents the profit made each month. The y intercept is 500. The y intercept represents the amount of money the company started with.

Just completed the assignment on Applying Linear Functions- lesson 2.4

Answer:

The slope is 745. The slope represents how much money is made each month. The y intercept is how much money the company had when it first started. The y intercept is 500.

Step-by-step explanation:

This is my answer: use it if you want.

Stay safe and have a wonderful day/night!!!!!

Hope this helped!! :)

Perform the indicated operation 9 15/22 -3 2/11​

Answers

Answer:

6 1/2

Step-by-step explanation:

Answer:6 1/2

Step-by-step explanation: do the math search it up

Write a fraction, a decimal and a percent for: one-sixth

Answers

Answer:

fraction:1/6  decimal:0.166666 repeated    percent:16.6 repeated

Step-by-step explanation:

Answer:

1/6,0.16,16.60

Step-by-step explanation: please mark me brainlist

Which expression is represented by the diagram?

10 negative tiles. 4 are crossed out.

Answers

Answer:

6 tiles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test ;)

¿Cuántos enteros divisibles por 4 y por 9 hay entre 95 y 450?

Answers

Answer:

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Step-by-step explanation:

Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:

[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)

Sabemos que el entero más pequeño divisible por 36 es:

[tex]x_{min} = \frac{108}{36}[/tex]

[tex]x_{min} = 3[/tex]

Mientras que el entero más grande divisible por 36 es:

[tex]x_{max} = \frac{432}{36}[/tex]

[tex]x_{max} = 12[/tex]

La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:

[tex]a = 1+(x_{max}-x_{min})[/tex] (2)

[tex]a = 1+(12-3)[/tex]

[tex]a = 10[/tex]

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

What is the product of d – 9 and 2d2 + 11d – 4?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the rental is 50 dollars and $15 per minute. If mia has $155, how many minutes can she rent the game set. Use an equation to find the answer

Answers

Answer:

Mia can rent the game set for 7 minutes

Step-by-step explanation:

(50)+(15×7)

Mona wants to buy carpet for a floor in her house. The floor is rectangular with a width of 5 m and a length of 8 m. Two shops sell carpet with the prices shown below. How much will Mona save by going to Carpet World ?

Answers

Answer:

Mona will save a total of $7 by going to Carpet World.

Step-by-step explanation:

First, we need to calculate the total area of the floor by multiplying the width by the length...

5m * 8m = 40m

Now we calculate the amount that it would cost to buy the carpet from each of the establishments. For the first establishment, we can buy 16[tex]m^{2}[/tex] and get the next 8[tex]m^{2}[/tex] half off and that would leave another 16[tex]m^{2}[/tex] at full price. The second establishment we have a 5% off (0.95 of official price) for every 8[tex]m^{2}[/tex], since out total area is 5 times this amount then our total will have a 5% off.

Establishment 1:  (16[tex]m^{2}[/tex] * 2.20) + (8[tex]m^{2}[/tex] * 1.10) + (16[tex]m^{2}[/tex] * 2.20) = $79.20

Establishment 2: (40[tex]m^{2}[/tex] * 1.90) * 0.95 = $72.20

Difference:  79.20 - 72.20 = $7

Mona will save a total of $7 by going to Carpet World.

Answer:

£14.70

Saw it on hegarty maths

What is 23x10⁵ im struggling to do this who can help

Answers

Answer:

if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10

Step-by-step explanation:

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Standard form :

[tex]2,300,000[/tex]

_________________________________

Science notation :

[tex]2.3 \times {10}^{6} [/tex]

_________________________________

Science E notation :

[tex]2.3 \: E6[/tex]

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What is the area of the following trapezoid 210 280 420 140

Answers

Answer:

Step-by-step explanation:

A=  a+b/2 h (area = a +b over 2 times H) plug in your numbers

I dont have a picture, if i did i could solve it, but here is the formula

     

1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.

2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.

Answers

1. y+2=2(x-3)
2. Y=2x-8

Explanation:

Point-Slope Form: y-y1 = m(x-x1)
(x1,y1) => (3,-2)

Y-(-2)=2(x-(3)) —> y+2=2(x-3)

Slope-Intercept Form: y=mx+b
(3,-2). M=2 (slope)

-2=2(3)+b Y=2x-8
-2=6+b
-6
—————
-8=b

A factory makes Jars in batches of 160 and lids in batches of 216. The next puts the jars in a row, fills them and then attaches the lid. They want to make the largest row possible so the jars and lids are divided evenly by the rows. What is the largest row possible?

Answers

Answer:

8 is the largest row possible

Step-by-step explanation:

What this question is simply asking is to find the greatest common factor of 216 and 160

The greatest common factor of 216 and 160 is 8

So what this mean is that the largest row possible is 8

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