Question

Find the quotient. (6x 2 - x - 40) ÷ (5 + 2x) 8 - 3x 3x + 8 3x - 8

Answer 1

Step-by-step explanation:(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

Answer 2

6x^2 - x - 40 =(3x - 8)(2x + 5)
and
5 + 2x = 2x + 5

so
(6x^2 - x - 40)÷ (5 + 2x)
= [(3x - 8)(2x + 5)] ÷ (5 + 2x)
= 3x -8

answer
3x - 8