Adding, Subtracting, Multiplying, Factoring Polynomials

Add/Subtract

100

3x²+2x-(4x²+3x+2)

What is -x²-x-2

200

(6x²-3x+5)+(3x²+4x³+1

What is 4x³+9x²-3x+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 (F.O.I.L)

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

Find GCF

100

6x-3

What is 3(2x-1)

200

4x²+12x

What is 4x(x+3)

300

Factor out GCF

5x³-25x² = 0

What is 5x²?

400

3x⁵+7x⁷

What is x⁵(3+7x²)

500

-9x³-27x⁶

What is -9x³(1+3x³)

Special Patterns

100

 (x+2)  ²

What is x² + 4x + 4

200

(x-4)(x+4)

What is x² - 16?

300

(x-3)²

What is x² -6x + 9

400

(2x+9)²

What is 4x²+ 36x + 81 ?

500

(11x +16)(11x -16)

What is 121x² -256

Solving

100

3p(5p-1) = 0 

p = 0, 1/5

200

(4k+5)(k+1) = 0

k = -5/4, -1

300

(k -1)(k-1) = 0

k = 1

400

4x²-8x = 0 

x = 0, 2

500

7x² = 49x

x = 0, 7