Factoring Binomials and Trinomials

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)

Factor:

2x² + 3x - 9

• 2(x + 3)(x - 3)

• (2x - 3)²

• (x + 3)(2x - 3)

• (2x + 3)(x - 3)

Which function is equivalent to: h(x)= 3x² + 10x - 8?

• h(x)=(3x + 2)(x + 4)

• h(x)=(7x + 5)(x + 2)

• h(x)=(3x - 2)(x + 4)

• h(x)=(7x - 3)(x - 4)

The area of a rectangle painting is (x² + 9x - 36) square units.

Which of the following could be the dimensions of the painting?

• (x + 12)units

  by (x - 3) units.

• (x + 9) units

  by (x - 4)units

• (x - 12) units

  by (x + 3) units

• (x - 9)units

  by (x - 4)units

What are the factors of: x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

• 5(x - 3)(x +1)

• 5x(x+3)(x-1)

• 5(x + 3)(x - 1)

• 5x(x- 3)(x+1)

What is the complete factorization of 3x² -3x - 18?

• 3(x -2)(x - 3)

• 3(x +3)(x -2)

• 3x(x -3-6)

• 3(x + 2)(x - 3)

Factor completely.
3x² + 10x - 8

• (3x + 2)(x + 4)

• (7x + 5)(x + 2)

• (3x - 2)(x + 4)

• (7x - 3)(x - 4)

A box in the shape of a rectangular prism is represented by the polynomial a² - a - 12, where a is measured in centimeters. Which measure might represent the box?

• (a - 4)cm and (a + 3)cm.

• (a + 6)cm and (a - 4)cm

• (a - 6)cm and (a + 4) cm

• (a + 4) cm and (a - 3)cm