Free Printable Classifying Polynomials

1.

Classify by degree of polynomial:
3x³ – 6x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

2.

Classify by degree of polynomial:
2x – 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

3.

Classify by degree of polynomial:
3x² – 8x + 1

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

4.

Classify by degree of polynomial:
12

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

5.

Classify by degree of polynomial:
7x³ – 8x² + 9

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

6.

Classify by degree of polynomial:
9x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

7.

What is the leading coefficient of the polynomial?
7x⁵ - 9x² + 6x

a)

7

b)

5

c)

9

d)

2

8.

What is the leading coefficient of the polynomial?
9x⁵ + 2x⁴ - x³ + 9x² - 2

a)

5

b)

9

c)

2

d)

4

9.

What kind of leading coefficient does the function have?
f(x) = 4x⁴ + 6x³ - x

a)

positive

b)

negative

10.

Put this polynomial in standard form:

7x+2x^2-3x^4

a)

$2x^2+7x-3x^4$

b)

$-3x^4+2x^2+7x$

c)

$-3x^4+7x+2x^2$

11.

What is the leading coefficient of this polynomial? (it is not in standard form)

10x^2+2x^7-1

a)

2

b)

10

c)

-1

d)

1

12.

Write this polynomial in standard form and identify its' leading coefficient:

7x^2-3x^5+1

a)

$-3x^5+1+7x^2$ Leading coefficient = -3

b)

$-3x^5+7x^2+1$ Leading coefficient = -3

c)

$-3x^5+7x^2+1$ Leading coefficient = 3

13.

Write this polynomial in standard form:

100a+45a^2-14a^3-54a^7

a)

$-54a^7-14a^3+45a^2+100a$

b)

$45a^2-14a^3+100a-54a^7$

c)

$-14a^3+45a^2-54a^7+100a$

14.

Write the polynomial in standard form and identify the leading coefficient:

20a^2+10a^6+12a+5

a)

$5+12a+10a^6+20a^2$ Leading coefficient = 5

b)

$12a+5+20a^2+10a^6$ Leading coefficient = 10

c)

$10a^6+20a^2+12a+5$ Leading coefficient = 10

15.

Fill in the blank. The __________ is the highest exponent of a variable when a polynomial is in standard form.

a)

coefficient

b)

degree

c)

monomial

d)

term

Classifying Polynomials

Total questions: 15

Worksheet time: 15mins

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