Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement.
-$- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$
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.
-$- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$ 
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 of $- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$ by $7sq$ results in $\frac{-3}{7}s^{6}q^{6} + \frac{8}{7}s^{7}q^{6} - \frac{11}{7}s^{6}q^{7}$, which matches the expression in choice E when simplified.

Perform the Indicated Divisions of Polynomials by Monomials −3s7q7+8s8q7−11s7q8- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }−3s7q7+8s8q7−11s7q8

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