Add Subtract Factor Polynomials

(x+10)(x-10)

• x²  - 100

• x² + 100

• x² + 20x - 100

• x² -20x + 100

Find the sum. 
(3 - 2x + 2x²) + (4x - 5 + 3x²)

• 7x - 7x + 5x²

• 5x² + 2x - 2

• 5x²

• 5x² + 6x + 8

Combine like terms to simplify:
 (5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)

• (x-4)(x-32)

• (x+3)(x-4)

• x+2)(x+5)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4) 

• (x+4)(x² -4)

• (x-4)(x-2)

Factor completely.

x² - 144

• ( x - 12 ) ²

• ( x - 12 ) ( x - 12 )

• ( x + 12 ) ( x + 12 )

• ( x + 12 ) ( x - 12 )

Factor

x² + 18x + 81                      

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²