Use a vertical format to find the product.
-$$\begin{array} { r }
5 z ^ { 3 } + 7 z ^ { 2 } + 4 z + 4 \
4 z + 7\
\hline
\end{array}$$
A) $20 z ^ { 4 } + 63 z ^ { 3 } + 65 z ^ { 2 } + 44 z + 28$
B) $63 z ^ { 4 } + 77 z ^ { 3 } + 44 z ^ { 2 } + 44 z$
C) $63 z ^ { 4 } + 63 z ^ { 3 } + 77 z ^ { 2 } + 28 z$
D) $20 z ^ { 4 } + 35 z ^ { 3 } + 77 z ^ { 2 } + 44 z + 44$

Question

Use a vertical format to find the product.
-$$\begin{array} { r } 
5 z ^ { 3 } + 7 z ^ { 2 } + 4 z + 4 \
4 z + 7\
\hline 
\end{array}$$
A) $20 z ^ { 4 } + 63 z ^ { 3 } + 65 z ^ { 2 } + 44 z + 28$
B) $63 z ^ { 4 } + 77 z ^ { 3 } + 44 z ^ { 2 } + 44 z$
C) $63 z ^ { 4 } + 63 z ^ { 3 } + 77 z ^ { 2 } + 28 z$
D) $20 z ^ { 4 } + 35 z ^ { 3 } + 77 z ^ { 2 } + 44 z + 44$

Quizplus · Accepted Answer

Multiplying each term in the polynomial $5z^3 + 7z^2 + 4z + 4$ by each term in the polynomial $4z + 7$ and then adding the results gives $20z^4 + 63z^3 + 65z^2 + 44z + 28$.

Use a Vertical Format to Find the Product 5z3+7z2+4z+44z+7\begin{array} { r } 5 z ^ { 3 } + 7 z ^ { 2 } + 4 z + 4 \\4 z + 7\\\hline \end{array}5z3+7z2+4z+44z+7​​

Use a Vertical Format to Find the Product $\begin{array} { r } 5 z ^ { 3 } + 7 z ^ { 2 } + 4 z + 4 \\4 z + 7\\\hline \end{array}$