Use a vertical format to find the product.
-$\begin{array} { r }
6 z ^ { 2 } - 5 z + 8 \
5 z - 2 \
\hline
\end{array}$
A) $30 z ^ { 3 } - 13 z ^ { 2 } + 30 z - 16$
B) $18 z ^ { 3 } - 15 z ^ { 2 } + 24 z$
C) $30 z ^ { 3 } - 37 z ^ { 2 } + 50 z - 16$
D) $18 z ^ { 3 } - 35 z ^ { 2 } - 24 z$

Question

Use a vertical format to find the product.
-$\begin{array} { r } 
6 z ^ { 2 } - 5 z + 8 \
5 z - 2 \
\hline
\end{array}$
A) $30 z ^ { 3 } - 13 z ^ { 2 } + 30 z - 16$
B) $18 z ^ { 3 } - 15 z ^ { 2 } + 24 z$
C) $30 z ^ { 3 } - 37 z ^ { 2 } + 50 z - 16$
D) $18 z ^ { 3 } - 35 z ^ { 2 } - 24 z$

Quizplus · Accepted Answer

Multiplying the polynomials vertically, each term in the first polynomial is multiplied by each term in the second polynomial: $6z^2 \times 5z = 30z^3$, $6z^2 \times (-2) = -12z^2$, $-5z \times 5z = -25z^2$, $-5z \times (-2) = 10z$, $8 \times 5z = 40z$, and $8 \times (-2) = -16$. Adding these results together gives $30z^3 - 37z^2 + 50z - 16$.

Use a Vertical Format to Find the Product 6z2−5z+85z−2\begin{array} { r } 6 z ^ { 2 } - 5 z + 8 \\5 z - 2 \\\hline\end{array}6z2−5z+85z−2​​

Use a Vertical Format to Find the Product $\begin{array} { r } 6 z ^ { 2 } - 5 z + 8 \\5 z - 2 \\\hline\end{array}$