Question

Which expression is equivalent to 6x2 – 19x – 55?

(2x – 11)(3x + 5)
(2x + 11)(3x – 5)
(6x – 11)(x + 5)
(6x + 11)(x – 5)

Answer 1

Answer, (6x + 11) (x - 5)

Answer 2

Option D. (6x + 11)(x - 5)

Explanation:

The given expression is 6x² - 19x - 55

We have to convert it into factored form as given in the various options.

6x² - 19x - 55 = 6x² - 30x + 11x - 55

6x(x - 5) + 11(x - 5)

(6x + 11)(x - 5)

Therefore, option D. (6x + 11)(x - 5) is the correct answer.