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 to Factor/Solve

100

6x-3

What is 3(2x-1)

200

4x²+12x =0

What is x = 0, -3

300

Solve for x:

5x³-25x² = 0

What is x = 0 or 5?

400

Solve 3x² = 18x

What is x= 0 and 6

500

-9x³-27x⁶

What is -9x³(1+3x³)

Factor/Solve

100

x²+5x+6 = 0

What is x = -3. -2

200

Solve for x:

x²+ 24= -11x

What is x = -3, -8?

300

Solve for x:

-2x²+x+10 = 0

What is x = 5/2 or -2?

400

4x²-12x-40

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

500

-2x²+8x = 6

What is x = 3, 1

Factor/Solve: Special Patterns

100

x² + 4x + 4

What is (x+2)  ²?

200

x² - 16

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

300

Solve for x:

x² + 9 = -6x

What is x = -3?

400

Factor:

4x²+ 36x + 81

What is (2x+9)²?

500

Solve for x :

121x² = 16

What is x = +- 4/11