Lesson 12 Polynomial Division Part 1

Lesson 12 Polynomial Division Part 1

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Multiple Choice

The polynomial function

 $p\left(x\right)=x^3-3x^2-10x+24$  has a known factor (x-4).  Rewrite p(x) as a product of linear factors.

•  $p\left(x\right)=\left(x-4\right)\left(x^2+x-6\right)$  

•  $p\left(x\right)=\left(x+4\right)\left(x-3\right)\left(x+2\right)$  

•  $p\left(x\right)=\left(x-4\right)\left(x+3\right)\left(x-2\right)$  

•  $p\left(x\right)=\left(x-4\right)\left(x+3\right)\left(x+2\right)$  

Open Ended

Multiple Choice

• (2x−5)(x+3)(x−2)(x+1)

• (2x+3)(x−5)(x−2)(x+1)

• (2x+15)(x−1)(x−2)(x+1)

• (2x−15)(x+1)(x−2)(x+1)

Multiple Choice

State the end behavior of

 $f\left(x\right)=5+7x-9x^2+4x^3$  

• As x decreases, y decreases.  As x increases, y increases.

• As x decreases, y increases.  As x increases, y increases.

• As x decreases, y decreases.  As x increases, y decreases.

• As x decreases, y increases.  As x increases, y decreases.

Multiple Choice

State the end behavior of

 $f\left(x\right)=1+7x+9x^3+6x^4-2x^5$  

• As x decreases, y decreases.  As x increases, y increases.

• As x decreases, y increases.  As x increases, y increases.

• As x decreases, y decreases.  As x increases, y decreases.

• As x decreases, y increases.  As x increases, y decreases.

Multiple Choice

What are the points of intersection between the graphs of the functions

f(x)=(x+3)(x−1) and g(x)=(x+1)(x−3)?

• x=0

• (0,-3)

• (-3,0)

• There are no points of intersection.