Which of the following is a factor of 10x2 - 11x - 6?

5x - 3

5x + 2

2x + 1

None of the above

5x + 2

Step-by-step explanation:

Given

10x² - 11x - 6

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term.

product = 10 * - 6 = - 60 and sum = - 11

The factors are - 15 and + 4

Use these factors to split the x - term

10x² - 15x + 4x - 6 (factor the first/second and third/fourth terms)

= 5x (2x - 3) + 2 (2x - 3) ← factor out (2x - 3) from each term

= (x - 3) (5x + 2) ← in factored form

Thus 5x + 2 is a factor of 10x² - 11x - 6