Use a vertical format to find the product.
-$\begin{array} { r }
2 z ^ { 3 } - 7 z ^ { 2 } + 7 z - 5 \
5 z - 2 \
\hline
\end{array}$
A) $6 z ^ { 4 } - 49 z ^ { 3 } + 49 z ^ { 2 } - 35 z$
B) $6 z ^ { 4 } - 21 z ^ { 3 } + 21 z ^ { 2 } - 15 z$
C) $10 z ^ { 4 } - 39 z ^ { 3 } + 49 z ^ { 2 } - 39 z + 10$
D) $10 z ^ { 4 } - 31 z ^ { 3 } + 49 z ^ { 2 } - 11 z - 10$

Question

Use a vertical format to find the product.
-$\begin{array} { r } 
2 z ^ { 3 } - 7 z ^ { 2 } + 7 z - 5 \
5 z - 2 \
\hline
\end{array}$
A) $6 z ^ { 4 } - 49 z ^ { 3 } + 49 z ^ { 2 } - 35 z$
B) $6 z ^ { 4 } - 21 z ^ { 3 } + 21 z ^ { 2 } - 15 z$
C) $10 z ^ { 4 } - 39 z ^ { 3 } + 49 z ^ { 2 } - 39 z + 10$
D) $10 z ^ { 4 } - 31 z ^ { 3 } + 49 z ^ { 2 } - 11 z - 10$

Quizplus · Accepted Answer

To find the product of $2z^3 - 7z^2 + 7z - 5$ and $5z - 2$, each term in the first polynomial is multiplied by each term in the second polynomial and then the results are summed. The correct product is $10z^4 - 39z^3 + 49z^2 - 39z + 10$.

Use a Vertical Format to Find the Product 2z3−7z2+7z−55z−2\begin{array} { r } 2 z ^ { 3 } - 7 z ^ { 2 } + 7 z - 5 \\5 z - 2 \\\hline\end{array}2z3−7z2+7z−55z−2​​

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