Find the quotient and check. $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$
A) $10 m ^ { 2 } + 12 m - 10$
B) $8 m ^ { 2 } - 9 m + 7$
C) $9 m ^ { 2 } + 15 m - 13$
D) $8 m ^ { 2 } + 15 m + 7$
E) $9 m ^ { 2 } - 14 m - 11$

Question

Quizplus · Accepted Answer

To find the quotient of $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$, we can use polynomial long division or synthetic division. The correct quotient is $8 m ^ { 2 } - 9 m + 7$, which means when $8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14$ is divided by $m + 2$, the result is $8 m ^ { 2 } - 9 m + 7$. Checking by multiplying the quotient by the divisor and adding any remainder should yield the original dividend.

Find the Quotient and Check 8m3+7m2−11m+14m+2\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }m+28m3+7m2−11m+14​

Find the Quotient and Check $\frac { 8 m ^ { 3 } + 7 m ^ { 2 } - 11 m + 14 } { m + 2 }$