Which of the following shows the factors of 9x² + 3x - 2?
(3x - 1)(3x - 2)
(3x + 1)(3x - 2)
(3x + 2)(3x - 1)
(9x - 2)(x + 1)

Solution:

Factors of the quadratic expression are generally the linear terms whose product will be given quadratic expression.

Given, 9x² + 3x - 2

⇒ 9x² + 6x - 3x - 2

⇒ 3x(3x + 2) -1(3x + 2)

⇒ (3x - 1)(3x + 2)

Example: Find the factors of 10x² + 41x + 21

Given, 10x² + 41x + 21

⇒ 10x² + 35x + 6x + 21

⇒ 5x (2x + 7) + 3(2x + 7)

⇒ (2x +7)(5x +3)

Which of the following shows the factors of 9x² + 3x - 2?

Summary:

The factors of 9x² + 3x - 2 is (3x - 1)(3x + 2)