Free Printable Classifying and Polynomial Operations Review

Worksheets

Classifying and Polynomial Operations Review

Total questions: 20

Worksheet time: 45mins

Name

Class

Date

What is the term classification of the following polynomial?
x³-7x²+3

monomial

binomial

trinomial

polynomial

What is the leading coefficient of the following polynomial?
5x²-3x+6

-3

By combining like terms, determine which expression below is equivalent to: 5x² - 7x + -3x²+ 3

5x²+5x+5

2x²-7x+3

2x²+7x+6

5x²+5

A rectangular picture frame has a length of 5x-2 inches and a width of 3x+1 inches. Write a polynomial that represents the perimeter of the frame. What is the perimeter of the frame if x=4?

31 in.

62 in.

234 in.²

18 in.

Like terms must have...

The same coefficient

The same variables

The same variables and exponents

The same coefficient, variables, and exponents

What is the perimeter of the rectangle?

x²+8x-5

2x²+16x-10

2x²+10x-8

6x-2

Expand: (2x - 3)²

2x² - 12x - 9

4x²- 9

4x²+ 9

4x²- 12x + 9

What is the area for the given rectangle:

6x³ - 9x² + 10x - 15

6x² + 1x - 15

6x² + 4x + 4

6x³ + 1x² - 15x

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

x_² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

10.

Find the difference
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

11.

Simplify: (x + 1) (x²- 2x + 1)

x³- x²-x + 1

x³- 2x + 2

x³+ x²+ x + 1

x³- 3x²- 3x + 1

12.

Classify 4x³+5x⁴-6

Cubic trinomial

Quintic trinomial

Quartic trinomial

Quartic binomial

13.

(x-4)(x+4) = x² + 8

True

False; x² + 8x + 16

False; x² + 16

False; x² - 16

14.

(a - b)²= a² - b²

True

False; a² + b²

False; a² + 2ab + b²

False; a² -2ab + b²

15.

______________________________ arranges the terms by degree in descending numerical order.

degree of polynomial

polynomial

terms

standard form of polynomial

16.

Classify the polynomial by degree and number of terms:

3x² – 8x + 1

Cubic Trinomial

Cubic Binomial

Quadratic Trinomial

Quadratic Binomial

17.

I am a trinomial whose leading coefficient is -3 when I'm put in standard form:

2xy -3 +5xy²

4x²-3x⁴+x

x⁵y -3x²y-xy

3x³-3x-3

18.

Classify the polynomial expression.

quadratic binomial

not a polynomial

quadratic monomial

binomial

19.

Is the expression below a polynomial?

x^0.25 − x

Yes, it is a polynomial.

No, it is not a polynomial.

20.

(11xy²)(-xy²) equals

10x²y⁴

-11xy²

10xy²

-11x²y⁴

Reset

Classifying and Polynomial Operations Review

Total questions: 20

Worksheet time: 45mins

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