Adding, Subtracting, Multiplying, Factoring Polynomials

Add/Subtract

100

3x²+2x-4+x²+3x+2

What is 4x²+5x-2

200

6x²-3x+5-3x²+4x³+1

What is 4x³+3x²-3x+6

300

4x²+6x+3-(2x²+3x-2)

What is 2x²+3x+5

400

-5x²+3x-2-(-4x²-2x-1)

What is -x²+5x-1

500

4x²-2x+1-(3x³+6x²+10x+5)

What is -3x³-2x²-12x-4

Multiply!

100

(x+3)(x+4)

What is x²+7x+12

200

(2x+5)(3x+4)

What is 6x²+23x+20

300

(5x-2)(x+1)

What is 5x²+3x-2

400

(7x-1)(2x-5)

What is 14x²-37x+5

500

(-8x+9)(6x-2)

What is -48x²+70x-18

GCF

100

6x-3

What is 3(x-1)

200

4x²+12x

What is 4x(x+3)

300

5x³-25x²

What is 5x²(x-5)

400

3x⁵+7x⁷

What is x⁵(3+7x²)

500

-9x³-27x⁶

What is -9x³(1+3x³)

Factor the Polynomial

100

x²+5x+6

What is (x+3)(x+2)

200

x²+11x+24

What is (x+3)(x+8)

300

x²-2x-15

What is (x-5)(x+3)

400

x²+x-42

What is (x+7)(x-6)

500

x²-8x+16

What is (x-4)(x-4)

Factor by Grouping

100

8r³ −64r² +r−8

(8r² +1)(r−8)

200

12p³ −21p² +28p−49

(3p² +7)(4p−7)

300

6v³ −16v² +21v−56

(2v² +7)(3v−8)

400

12x³ +2x² −30x−5

(2x² −5)(6x+1)

500

49x³ −35x² +56x−40

(7x² +8)(7x−5)