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

Factor by grouping

100

6n³ + 3n² + 10n + 5

What is (3n² + 5)(2n + 1)

200

4x³ + 12x² + 5x + 15

What is (4x² + 5)(x+3)

300

5x³ - 25x² - 11x + 55

What is (x² - 11)(x - 5)

400

7x⁷ + 3x⁵+ 14x³ + 6x

What is (x⁵ + 2x)(7x² + 3)

500

250c³ - 250c² + 100c - 100

What is (250c² + 100)(c - 1)

Factor

100

x²+5x+6

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

200

Factor x² - 11x +24

What is (x - 8)(x - 3)

300

Factor     2x²+x-10 

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

400

4x²-12x-40

What is 4(x-5)(x+2)

500

-2x²+8x-6

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

Factor Special Cases

100

x² + 4x + 4

What is (x+2)  ²?

200

x² - 16

What is (x-4)(x+4)?

300

Factor

x² -6x +9

What is (x - 3)²

400

Factor:

4x²+ 36x + 81

What is (2x+9)²?

500

Factor

121x² -16

What is (11x - 4)(11x + 4)