Question

Factorise the expressions and divide them as directed.
$(y^2+7y+10)÷(y+5)$

• A. $y-2$
• B. $y+1$
• C. $y+2$
• D. $y-1$

Answer 1

Answer: (C)

$y+2$

We have,
$(y^2+7y+10)÷(y+5)$
$=\frac{(y^2+5y+2y+10)}{(y+5)}$

$=\frac{y(y+5)+2(y+5)}{(y+5)}$

$=\frac{(y+5)(y+2)}{(y+5)}$

$=(y+2)$