Polynomial Review

Mixed Operations with Polynomials

100

Simplify

-3(x-4)

What is -3x+12?

200

Simplify

3/4 (8x-16)

What is 6x -12?

300

Simplify

-2x²(x²+4x-9y)

What is -2x⁴-8x³+18x²y?

400

Simplify

(9x⁵+18x⁴+45x³)/ 9x²

What is x³+2x²+5x?

500

Simplify

5x(4x²-2)+3x(2x²+4x)

What is 26x³+12x²-10x?

Add/Subtract Polynomials

100

Simplify

(4b - 3a)+(2a-b)

What is -a + 3b?

200

Simplify

(4x+2y) + (3x-2y)

What is 7x?

300

Simplify

(4a-b)-(-3a+b)

What is 7a - 2b?

400

Simplify

(6x²y+3xy²-2)-(3xy²+6x²y+2)

What is -4?

500

Find the perimeter of the triangle with the following:

x+2y

3x-3y

-2x-5y

What is 2x - 6y?

Multiply/divide Polynomials

100

Simplify 

(x+5)(x-5)

What is x²-25?

200

Simplify 

(10x³-150x²+5x)/ 5x

What is 2x²-30x+1?

300

Simplify

(3x-5)²

What is 9x²-30x+25?

400

Simplify

(2y-3)(2y+3)

What is 4y²-9?

500

Simplify

(2x+3)(x²-5x+7)

What is 2x³-7x²-x+21?

Misc.

100

Name the type of polynomial

3x⁴-x²+10

What is trinomial?

200

Write in standard form:

-3x+5-2x³+7x²

What is -2x³+7x²-3x+5?

300

Determine the degree of the following polynomial:

-6x²+3x+9

What is 2?

400

Name the type of polynomial 

15x

What is a linear monomial?

500

Simplify

4x²+7y²-6x²+4x-3y²+10x

What is -2x²+14x+4y²