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 x^2+7x+12

200

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

What is 6x^2+23x+20

300

(5x-2)(x+1)

What is 5x^2+3x-2

400

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

What is 14x^2-37x+5

500

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

What is -48x^2+70x-18

X-intercepts, Roots and Zeroes

100

x²-9=0

What is x = 3 and x = -3 

200

4x²+12x=0

What is x=0 and x = -3 

300

5x³ =25x²

What is x = 0 and x = 5

400

x²+49=14x

What is x =7

500

x³-64x = 0

What is x = 0, x=-8  x = 8 

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 Completely

100

2x²+10x+12

What is (2x+4)(x+3)

200

3x²+13x+4

What is (3x+1)(x+4)

300

-2x²+x+10

What is (-2x+5)(x+2)

400

4x²-12x-40

What is (2x-10)(2x+4)

500

-2x²+8x-6

What is -2(x-3)(x-1)