Divide the polynomials by using an appropriate method. $$\left( s ^ { 4 } + 8 s ^ { 3 } + 2 s ^ { 2 } - 8 s - 5 \right) \div ( s + 1 )$$
A) $s ^ { 3 } + 7 s ^ { 2 } - 5 s + \frac { - 3 s + 2 } { s + 1 }$
B) $s ^ { 3 } + 7 s ^ { 2 } - 5 s - 3$
C) $s ^ { 3 } + 9 s ^ { 2 } + 11 s + 3 - \frac { 2 } { s - 1 }$
D) $s ^ { 3 } + 7 s ^ { 2 } - 5 s - 3 - \frac { 2 } { s + 1 }$

Question

Quizplus · Accepted Answer

To divide the given polynomial by $s + 1$, we can use polynomial long division or synthetic division. The process will yield a quotient of $s^3 + 7s^2 - 5s - 3$ with a remainder of $-2$, which when divided by $s + 1$ gives the term $-\frac{2}{s + 1}$. Therefore, the complete answer is $s^3 + 7s^2 - 5s - 3 - \frac{2}{s + 1}$.

Divide the Polynomials by Using an Appropriate Method (s4+8s3+2s2−8s−5)÷(s+1)\left( s ^ { 4 } + 8 s ^ { 3 } + 2 s ^ { 2 } - 8 s - 5 \right) \div ( s + 1 )(s4+8s3+2s2−8s−5)÷(s+1)

Divide the Polynomials by Using an Appropriate Method $\left( s ^ { 4 } + 8 s ^ { 3 } + 2 s ^ { 2 } - 8 s - 5 \right) \div ( s + 1 )$