Free Printable Classify and Perform Polynomial Operations

1.

Classify the polynomial by degree and number of terms.

$-2x^2-9$

(a)

2.

Classify the polynomial by degree and number of terms

$x^5\ -6x^3\ -\ x\ -\ 1$

a)

Quartic polynomial

b)

Cubic polynomial

c)

Quintic trinomial

d)

Quintic polynomial

3.

Simplify each expression. Final answer should be written in standard form.

$\left(8a^2-6-8a\right)+\left(1-6a-7a^2\right)$

a)

$15a^2-2a-5$

b)

$a^2-5-2a$

c)

$a^2-14a-5$

d)

$a^2-2a-5$

4.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

5.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

6.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

7.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

8.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

9.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

10.

$\frac{20x^2yz\ +15xy^2z^2}{5xyz}$

a)

$4x+3yz$

b)

$4xyz\ +\ 3xyz$

c)

$15x\ +12yz$

d)

$4x^2yz\ +3xy^2z^2$

11.

(4a + 2)(6a² − a + 2)

a)

24a³ + 16a² + 6a + 4

b)

24a³ + 8a² + 10a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ - 8a² - 6a + 4

12.

(x-3)(x²+2x+7)

a)

x³- x²+ x - 21

b)

x³+ 5x + 13x - 21

c)

x³- 3x²+ 7x - 21

d)

x²+ 2x - 3

Classify and Perform Polynomial Operations

Total questions: 12

Worksheet time: 23mins

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