Question

If $y^3-5y^2+7$ is divided by $y+2$,then the remainder is equal to:

• A. -17
• B. -20
• C. -21
• D. -25

Answer 1

The correct option is C -21

Given,

$\frac{y^3-5y^2+7}{y+2}$

$=y^2+\frac{-7y^2+7}{y+2}$

$=y^2-7y+\frac{14y+7}{y+2}$

$=y^2-7y+14+\frac{-21}{y+2}$

$=y^2-7y+14-\frac{21}{y+2}$

$\Rightarrow -21$ is the remainder