Free Printable Polynomials and Factoring Test (S)

1.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

2.

How would you factor?

$15a^2b-30ab$

a)

GCF

b)

Difference of Squares

c)

Quadratic Trinomial

d)

Grouping

3.

Factor

$15a^2b-30ab$

a)

15ab(a + 2)

b)

15ab(a - 2)

c)

5ab(3a - 10)

d)

5ab(3a + 10)

4.

How would you factor?

4x²- 9

a)

GCF

b)

Difference of Perfect Squares

c)

Quadratic Trinomial

d)

Grouping

5.

Factor 4x²- 9

a)

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

b)

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

c)

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

d)

$\left(2x-3\right)\left(2x-3\right)$

6.

Factor $x^2-12x-45$

a)

(x - 15)(x - 3)

b)

(x + 15)(x + 3)

c)

(x - 15)(x + 3)

d)

(x + 15)(x - 3)

7.

How would you factor?

$p^5-6p^3-2p^2+12$

a)

GCF

b)

Difference of Squares

c)

Quadratic Trinomial

d)

Grouping

8.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

9.

Rewrite in Standard Form:

7x - 125 - 6x⁴ + 14x²

a)

125 + 7x - 14x² +6x⁴

b)

6x⁴ -14x² - 7x +125

c)

125 + 14x² + 7x - 6x⁴

d)

-6x⁴+ 14x² + 7x - 125

10.

What is the perimeter of this triangle?

a)

8xy + 3

b)

5x + y + 3

c)

5x + 4y + 3

d)

6x + 3y + 3

11.

Classify by its degree and number of terms: x² + 6

a)

Linear polynomial

b)

Quadratic trinomial

c)

Quadratic binomial

d)

Cubic binomial

12.

I am a quartic binomial...

a)

2x²y + 5xy²

b)

3x⁴- 2yx + 5

c)

xyz + 4xyz²

d)

7x²y²

13.

Classify the polynomial:

x³y² + 5x⁴ - 2x⁴y³

a)

5th degree trinomial

b)

4th degree polynomial

c)

7th degree trinomial

d)

6th degree trinomial

Polynomials and Factoring Test (S)

Total questions: 13

Worksheet time: 19mins

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