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)

Step-by-step explanation:

In order to see which expression is equivalent to

`6x^2 -19x-55` (1)

Let's solve each individual expression separately:

1)
`(2x - 11)(3x + 5)=6x^2 -33 x +10 x-55=6x^2 -23 x -55` --> NO

2)
`(2x + 11)(3x - 5)=6x^2 +33 x -10 x-55=6x^2 +23 x -55` --> NO

3)
`(6x - 11)(x + 5)=6x^2 -11 x +30 x-55=6x^2 +19 x -55` --> NO

4)
`(6x + 11)(x - 5)=6x^2 +11 x -30 x-55=6x^2 -19 x -55` --> YES

So, the choice that corresponds to eq.(1) is the last one:

(6x + 11)(x – 5)

Answer 2

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