Lesson 13 Polynomial Division Part 2

Lesson 13 Polynomial Division Part 2

Multiple Choice

The polynomial function

 $B\left(x\right)=x^3-21x+20$  has a known factor of (x-4).  Use polynomial division to rewrite B(x) as a product of linear factors.

•  $B\left(x\right)=\left(x-4\right)\left(x+1\right)\left(x+5\right)$  

•  $B\left(x\right)=\left(x-4\right)\left(x-1\right)\left(x+5\right)$  

•  $B\left(x\right)=\left(x-4\right)\left(x+1\right)\left(x-5\right)$  

•  $B\left(x\right)=\left(x-4\right)\left(x-1\right)\left(x-5\right)$  

Open Ended

Multiple Select

For the polynomial function

 $A\left(x\right)=x^4-2x^3-21x^2+22x+40$  , (x-5) is a known factor.   Find all other known factors.

• (x+1)

• (x-2)

• (x+2)

• (x+4)

• (x+8)

Multiple Choice

Match the polynomial with its constant term. (Put into standard form.)

 $P\left(x\right)=\left(x-2\right)\left(x-3\right)\left(x+7\right)$  

• -210

• -42

• 21

• 42

• 210

Multiple Choice

Match the polynomial with its constant term. (Put into standard form.)

 $P\left(x\right)=\left(x+2\right)\left(x-3\right)\left(x+7\right)$  

• -210

• -42

• 21

• 42

• 210

Multiple Choice

Match the polynomial with its constant term. (Put into standard form.)

 $P\left(x\right)=\frac{1}{2}\left(x-2\right)\left(x-3\right)\left(x+7\right)$  

• -210

• -42

• 21

• 42

• 210

Multiple Choice

Match the polynomial with its constant term. (Put into standard form.)

 $P\left(x\right)=5\left(x-2\right)\left(x-3\right)\left(x+7\right)$  

• -210

• -42

• 21

• 42

• 210

Multiple Choice

Match the polynomial with its constant term. (Put into standard form.)

 $P\left(x\right)=-5\left(x-2\right)\left(x-3\right)\left(x+7\right)$  

• -210

• -42

• 21

• 42

• 210

Fill in the Blanks

What are the solutions to the equation (x-2)(x-4)=8?

Multiple Choice

The graph of a polynomial function f is shown. Which statement is true about the end behavior of the polynomial function?

• As x gets larger and larger in the either the positive or the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

• As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

• As x gets larger and larger in the either the positive or negative direction, f(x) gets larger and larger in the negative direction.

Open Ended

The polynomial function

 $p\left(x\right)=x^3+3x^2-6x-8$  has a known factor of (x+4).
a) Rewrite p(x) as the product of linear factors.

b) Draw a rough sketch of the graph of the function.