Question

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

Answer 1

Answer:

The quotient is 3x+4

Step-by-step 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, $\frac{6x^2+23x+20}{5+2x}=\frac{(3x+4)(2x+5)}{2x+5}=3x+4$

Hence, the quotient is 3x+4

Answer 2

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