Multiplying and Factoring Expressions

What is the greatest common factor for 16, 32, and 40?

• 2

• 16

• 6

• 8

Which of the following is equivalent to 2x(x³-5)?

• 2x³-10x

• 2x⁴-10x

• 2x³-10x

• 2x⁴-10

Completely factor the following:

5x²-10x

• 5x(x-2)

• 5x(x-5)

• 5(x²-2x)

• 5(x-5)

Write x²(4x+3)-7x(x-2) as a simplified polynomial.

• 4x³-4x²-14x

• 4x³-4x²+14x

• 14x

• 4x³+10x²-14

Which expression represents the product of (x²-4x+2) and (-8x)?

• -8x³+32x²-16x

• -8x³+32x²+16x

• -16x³-16x

• -8x³-32x²-16x

Find the area of a rectangle with dimensions of (2x-5) and (3x-1).

• 6x²-5

• 6x²+5

• 6x²-17x-5

• 6x²-17x+5

Factor the trinomial x²+11x+18.

• (x-2)(x-9)

• (x+3)(x+6)

• (x+2)(x+9)

• (x+1)(x+18)

Which polynomial is equivalent to (m+3)²

• m²+6x+9

• m²+9x+9

• m²+9

• 2m+6

Completely factor the polynomial

8x²-12x.

• 2x(4x-6)

• 4(2x²-3x)

• 4x(2x-3)

• x(8x-12)

The base of a rectangle is (x+2) and its area is (x²-6x-16). Which expression represents the height of the rectangle?

• (x-3)

• (x+8)

• (x-8)

• (x+3)