Polynomials: Add, Multiply, GCF

GCF

100

GCF of 30x⁴+ 25x²

What is 

5x²

?

200

GCF of 4x⁵ and 8x³

What is 

4x³

?

300

Factor the GCF from: 12x² + 16x³

What is

4x²(3 + 4x)

?

400

Factor the GCF from: 50y⁷+ 40y⁴

What is

10y⁴(5y³ + 4)

?

500

Factor the GCF from: 18x³ - 24x²

What is 

6x²(3x - 4)

?

FOIL

100

(x + 5) (x -3)

What is 

x²+2x-15

?

200

(x-8) (x+5)

What is

x² - 3x - 40

?

300

(x-1) (x+2)

What is

x² + x - 2

?

400

(x² + 5) ( x + 4)

What is 

x³ + 4x² + 5x + 20

?

500

(10x + 3) (x - 8)

What is

10 x² - 77 x² - 24

?

Special Products

100

(x-2) (x+2)

What is

x²- 4

?

200

(x+ 3)²

What is

x² +6x + 9

?

300

(2x - 3) (2x + 3)

What is

4x² - 9

?

400

(3x + 5)²

What is

9x²+ 30 x + 25

?

500

(6x + 5) (6x - 5)

What is

36x² - 25

?

Polynomial Operations

100

(3x² + 4x - 6) + (6x² - 6x + 3)

What is

9x² - 2x -3

?

200

(x⁴ - 3x³ + 2x² - x + 5) + B = 7

Find B.

What is

B= -x⁴ + 3x³ - 2x² + x + 2

?

300

( 5x³ + x² - 4x + 1) - C = 7x³ + x² - 4x -3

Find C.

What is

C= -2x³ + 4

?

400

5(x-1)(x+1)

What is

5x² - 5

?

500

Divide : (25x⁴ - 15x² - 30x) divided by 5x

What is

5x³ - 3x - 6

?

Factor by Grouping

100

x³ + 2x² -5x -10

What is

(x²-5)(x+2)

?

200

x³ + x²y + 8xy +8y²

What is

(x² + 8y)(x+y)

?

300

5x³ - 3x²y + 5x - 3y

What is

(5x-3y)(x²+1)

?

400

35x³ -15x² + 14x -6

What is

(7x-3)(5x²+2)

?

500

x⁴ + x² + 5x² + 5

What is

(x²+1)(x²+5)

?