Adding, Subtracting and Factoring Polynomials

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

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

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

-5x⁶(3x⁴ - 12x² + 30)

• -15x¹⁰ + 60x⁸ - 150x⁶

• -15x¹⁰ - 60x⁸ + 150x⁶

• -15x²⁴ + 60x¹² - 150x⁶

• -8x²⁴ + 17x¹² - 35x⁶

Simplify the product.

(2x – 6)²

• 4x² – 24x + 36

• 4x² – 8x + 36

• 4x² + 36

• 4x² – 12x + 36

Find the area of a rectangle with length (x-5) and width (3x+1).

• 3x² + 16x - 5

• 3x² - 14x + 5

• 3x² - 14x - 5

• 3x² - 16x - 4

Simplify the expression.

5(8 + 3x) - 4(x - 2)

• -x + 38

• 11x + 48

• 11x + 32

• 19x + 21

Factor: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x² + 4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor completely.

x³ + 2x² - 49x - 98

• (x² - 49) (x + 2)

• (x² - 49) (x + 2) (x + 2)

• (x + 7) (x - 7) (x + 2)

• (x + 7i) (x - 7i) (x + 2)

• (2x - 3)(2x - 2); x = 3/2 and x = 1

• (2x + 6)(2x +1); x = -3 and x = -1

• (4x - 3)(x - 2); x = 3/4 and x = 2

• (4x + 3)(x + 2); x = -3/4 and x = 2

Factor out the GCF from the polynomial

• A

• B

• C

• D