Question

Complete factorization

Answer 1

A. 2x + 1

Explanation:

6x³ - 15x² - 9x

3x (2x² - 5x - 3)

3x (2x² + x - 6x - 3)

3x (x (2x + 1) - 6x - 3)

3x (x (2x + 1) - 3 (2x + 1))

= 3x (2x + 1) (x - 3)

one of the factor of the complete factorization is A. 2x + 1

Answer 2

`\tt{}A. \:2x + 1`

Explanation:

`\tt{}6 {x}^(3) - 15 {x}^(2) - 9x`

`\tt{}3x * ( {2x}^(2) - 5x - 3)`

`\tt{}3x * ( {2x}^(2) + x - 6x - 3)`

`\tt{}3x * (x * (2x + 1) *3 (2x + 1))`

`\tt{}3x * (2x + 1) * (x - 3)`