Free Printable (Algebra 2) Polynomials

1.

Factor

$x^{3\ }-27$

a)

$\left(x-3\right)\left(x^2-6x\ +\ 9\right)$

b)

$\left(x-3\right)\left(x^2+3x\ +9\right)$

c)

$\left(x+3\right)\left(x^2-3x\ +9\right)$

d)

$\left(x+3\right)\left(x^2-6x\ +9\right)$

2.

Factor

$x^{4\ }-2x^2+1$

a)

$\left(x^3-4\right)\left(x+3\right)$

b)

$\left(x^2-1\right)\left(x^2+1\right)$

c)

$\left(x^2-1\right)^2$

d)

$\left(x-1\right)^4$

3.

Factor $x^3-5x^2\ +3x\ -15$

a)

$\left(x-5\right)\left(x^2+3\right)$

b)

$\left(x+5\right)\left(x^2-3\right)$

c)

$\left(x^2-5\right)\left(x+3\right)$

d)

$\left(x^2+5\right)\left(x-3\right)$

4.

Take a moment to remind yourself Remainder Theorem. Press "OK!" when you are ready.

a)

OK!

b)

(･ｗ･；)　はぁ？

5.

Find the remainder; $\left(x^{88}-x^{67}\ +\ x^{44}-x^{37}+x^{28}\ -x^{11}\ +x^8\right)\div\left(x-1\right)$

a)

$-1$

b)

$0$

c)

$1$

d)

$2$

6.

a)

-4

b)

$-2$

c)

$3$

d)

6

7.

a)

b)

c)

d)

8.

Take a moment to remind yourself Factor Theorem. Press "OK!" when you are ready.

a)

OK!

b)

(-"-;) うっ…

9.

a)

$x^3-3x^2+4x\ -2$

b)

$x^{4\ }+\ 2x\ +\ 1$

c)

$x^2+1$

d)

None of the above.

10.

Take a moment to remind yourself Rational Root Theorem and then press "OK!" when you are ready. '

a)

OK!

b)

(*´⌒｀*)

11.

According to the Rational Root Theorem, which is NOT a possible zero of the following function? $2x^{4\ }-5x^3+10\ x^{2\ }-9=0$

a)

$-9$

b)

$-\frac{1}{2}$

c)

$\frac{5}{2}$

d)

$3$

12.

Consider the function $f\left(x\right)\ =\ x^3-3x^2+4x-12$

Use the Fundamental Theorem of Algebra to state the number of zeros of the function.

a)

0

b)

1

c)

2

d)

3

13.

The graph of the function $f\left(x\right)=\ x^3-3x^2+4x\ -12\$
is provided.

What is the number of imaginary zeros of the function.

a)

0

b)

1

c)

2

d)

3

14.

Which of the followings could be the graph of $y\ =\ ax^3+bx^2+cx+2\$ where $a>0\ ?$

a)

b)

c)

d)

(Algebra 2) Polynomials

Total questions: 14

Worksheet time: 19mins

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