Question

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

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

Answer 1

(6x+11)(x-5)

`solution \\ {6x}^(2) - 19x - 55 \\ = {6x}^(2) - (30 -11)x - 55 \\ = {6x}^(2) - 30x + 11x - 55 \\ = 6x(x - 5) + 11(x - 5) \\ = (6x + 11)(x - 5)`

Hope this helps ...

Good luck on your assignment...

Answer 2

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

Last Answer is correct.

Explanation:

`6 {x}^(2) - 19x - 55 \\ 6 {x}^(2) - 30x + 11x - 55 \\ 6x(x - 5) + 11(x - 5) \\ (6x + 11)(x - 5)`

hope this helps you.