Question

Find the quotient. (6x 2 + 23x + 20) ÷ (5 + 2x)

Answer 1

(3x -4)(2x-5) as this it is divided

Answer 2

The quotient is 3x+4

Explanation:

Given the dividend and divisor i.e we have to find the quotient if
`6x^2+23x+20` is divided by 5+2x

Given dividend is

`6x^2+23x+20`

⇒
`6x^2+15x+8x+20`

⇒
`3x(2x+5)+4(2x+5)`

⇒
`(3x+4)(2x+5)`

Hence, the given dividend can written in two factors.

Now,
`(6x^2+23x+20)/(5+2x)=((3x+4)(2x+5))/(2x+5)=3x+4`

Hence, the quotient is 3x+4