Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement.
-$3 s ^ { 7 } - 8 s - 11$
A) $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } - 77 s } { 7 s }$
B) $\frac { - 21 s ^ { 9 } + 56 s ^ { 3 } - 77 s ^ { 2 } } { - 7 s }$
C) $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } + 77 s } { - s }$
D) $\frac { 21 s q - 56 s ^ { 2 } q ^ { 2 } - 77 s ^ { 8 } q ^ { 9 } } { - s q }$
E) $\frac { - 21 s ^ { 8 } q ^ { 8 } + 56 s ^ { 9 } q ^ { 8 } - 77 s ^ { 8 } q ^ { 9 } } { 7 s q }$

Question

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement.
-$3 s ^ { 7 } - 8 s - 11$ 
A) $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } - 77 s } { 7 s }$ 
B) $\frac { - 21 s ^ { 9 } + 56 s ^ { 3 } - 77 s ^ { 2 } } { - 7 s }$ 
C) $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } + 77 s } { - s }$ 
D) $\frac { 21 s q - 56 s ^ { 2 } q ^ { 2 } - 77 s ^ { 8 } q ^ { 9 } } { - s q }$ 
E) $\frac { - 21 s ^ { 8 } q ^ { 8 } + 56 s ^ { 9 } q ^ { 8 } - 77 s ^ { 8 } q ^ { 9 } } { 7 s q }$

Quizplus · Accepted Answer

Dividing each term in the numerator of option A by $7s$ gives $3s^7 - 8s - 11$, which matches the given expression.

Perform the Indicated Divisions of Polynomials by Monomials 3s7−8s−113 s ^ { 7 } - 8 s - 113s7−8s−11

Perform the Indicated Divisions of Polynomials by Monomials $3 s ^ { 7 } - 8 s - 11$