Free Printable Unit 2 Lesson 15

1.

For the polynomial function $f\left(x\right)=x^3-2x^2-5x+6,$ we have $f\left(0\right)=6,\ f\left(2\right)=-4,\ f\left(-2\right)=0,\ f\left(3\right)=0,\ f\left(-1\right)=8,\ f\left(1\right)=0.$ Rewrite $f\left(x\right)$ as a product of linear factors.

(a)

2.

Select all the polynomials that have $\left(x-4\right)$ as a factor.

a)

$x^3-13x-12$

b)

$x^3+8x^2+19x+12$

c)

$x^3+6x+5x-12$

d)

$x^3-x^2-10x-8$

e)

$x^2-4$

3.

Write a polynomial function, $p\left(x\right),$ with degree 3 that has $p\left(7\right)=0.$

4 lines

4.

Long division was used here to divide the polynomial function $p\left(x\right)=x^3+7x^2-20x-110$ by $\left(x-5\right).$ What is $p\left(-5\right)?$

(a)

5.

Long division was used here to divide the polynomial function $p\left(x\right)=x^3+7x^2-20x-110$ by $\left(x+5\right).$ What is $p\left(5\right)?$

(a)

6.

Which polynomial function has zeros when $x=5,\ \frac{2}{3},\ -7?$

a)

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

b)

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

c)

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

d)

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

7.

The polynomial function $q\left(x\right)=3x^4+8x^3-13x^2-22x+24$ has known factors $\left(x+3\right)$ and $\left(x+2\right).$ Rewrite $q\left(x\right)$ as the product of linear factors.

(a)

Unit 2 Lesson 15

Total questions: 7

Worksheet time: 12mins

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