Polynomials Practice

Naming

100

Name the polynomial. 

5x + 4

Linear Binomial

200

Name the polynomial: 

4x³

Cubic Monomial

300

Name the polynomial:

7x - 2x² + 5

Quadratic Trinomial

400

6n⁴ + 2n³ + 100 - 6n¹⁰

10th Degree Polynomial

500

6 + 7x² + 3xyz

Cubic Trinomial

Multiplying Polynomials

100

5(2x + 1)

10x + 5

200

3x(4x + 6)

12x² + 18x

300

(x + 3)(x - 1)

x² + 2x - 3

400

(3x² + 4)(2x + 5)

6x³ + 15x² + 8x + 20

500

(2x² - 4x + 1)(3x - 3)

6x³ - 18x² + 15x - 3

GCF

100

Find the GCF:

7x and 14

7

200

Find the GCF:

18x and 24x

6x

300

Find the GCF:

44n³ and 33n⁴

11n³

400

Find the GCF:

28x and 24x³ and 36x²

4x

500

Find the GCF:

18xy² and 30x²y²

6xy²

Factoring

100

Factor the polynomial. Factor out the GCF first, if possible.

x² + 4x + 4

(x + 2)(x + 2)

200

Factor the polynomial. Factor out the GCF first, if possible.

x² + 5x - 14

(x + 7)(x - 2)

300

Factor the polynomial. Factor out the GCF first, if possible.

2x² + 16x + 30

2(x + 3)(x + 5)

400

x² - 9

(x + 3)(x - 3)

500

Factor the polynomial. Factor out the GCF first, if possible.

x³ - 6x² + 9x

x(x - 3)(x - 3) 

or 

x(x - 3)²

More Factoring

100

Factor the polynomial. Factor out the GCF first, if possible.

x³ - 12x² + 27x

x(x - 3)(x - 9)

200

Factor the polynomial. Factor out the GCF first, if possible.

7m² + 6m - 1

(7m - 1)(m - 1) 

300

Factor the polynomial. Factor out the GCF first, if possible.

3x² + 10x - 8

(3x - 2)(x + 4)

400

Factor the polynomial. Factor out the GCF first, if possible.

2n² + 7x - 7

Not factorable

500

Factor the polynomial. Factor out the GCF first, if possible.

6x² - 20x + 14

2(3x - 7)(x - 1)