Question

Which polynomial should be subtracted from $y^3+2y^2+5y-1$ to get $2y^2+12$?

• A. $y^3+5y-13$
• B. $y^3+y-1$
• C. $5y-3$
• D. $y^3-y-14$

Answer 1

The correct option is A $y^3+5y-13$

The bigger polynomial is $y^3+2y^2+5y-1$
Let one polynomial be $p$.
Therefore,
$y^3+2y^2+5y-1-p=2y^2+12$
$=>y^3+2y^2+5y-1-2y^2-12=p$
$=y^3+5y-13$
Therefore,
The polynomial to be subtracted is $y^3+5y-13$