Use a vertical format to find the product.
-$$\begin{array} { r }
4 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 8 \
4 x - 2\
\hline
\end{array}$$
A) $8 x ^ { 4 } - 10 x ^ { 3 } + 12 x ^ { 2 } - 16 x$
B) $8 x ^ { 4 } - 30 x ^ { 3 } + 36 x ^ { 2 } - 48 x$
C) $16 x ^ { 4 } - 12 x ^ { 3 } + 34 x ^ { 2 } - 20 x - 16$
D) $16 x ^ { 4 } - 28 x ^ { 3 } + 34 x ^ { 2 } - 44 x + 16$

Question

Use a vertical format to find the product.
-$$\begin{array} { r } 
4 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 8 \
4 x - 2\
\hline 
\end{array}$$
A) $8 x ^ { 4 } - 10 x ^ { 3 } + 12 x ^ { 2 } - 16 x$
B) $8 x ^ { 4 } - 30 x ^ { 3 } + 36 x ^ { 2 } - 48 x$
C) $16 x ^ { 4 } - 12 x ^ { 3 } + 34 x ^ { 2 } - 20 x - 16$
D) $16 x ^ { 4 } - 28 x ^ { 3 } + 34 x ^ { 2 } - 44 x + 16$

Quizplus · Accepted Answer

To find the product of $4x^3 - 5x^2 + 6x - 8$ and $4x - 2$, each term in the first polynomial is multiplied by each term in the second polynomial and then the results are combined. The correct product is $16x^4 - 28x^3 + 34x^2 - 44x + 16$, which matches option D.

Use a Vertical Format to Find the Product 4x3−5x2+6x−84x−2\begin{array} { r } 4 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 8 \\4 x - 2\\\hline \end{array}4x3−5x2+6x−84x−2​​

Use a Vertical Format to Find the Product $\begin{array} { r } 4 x ^ { 3 } - 5 x ^ { 2 } + 6 x - 8 \\4 x - 2\\\hline \end{array}$