Introduction to Factoring Trinomials

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)

• 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)

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

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor:
 n² + 10n + 25

• (n + 5)(n - 5)

• (n + 25)(n + 1)

• (n - 5)²

• (n + 5)²

Factor:
 x² - 15x + 50

• (x - 10)(x - 15)

• (x - 10)(x - 5)

• (x - 25)²

• (x - 5)²

Factor:
x² + 7x - 30

• (x + 10)(x - 7)

• (x - 10)(x + 3)

• (x + 10)(x + 3)

• (x + 10)(x - 3)

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²