Use a vertical format to find the product.
-$$\begin{array} { r }
x ^ { 2 } + 3 x + 5 \
4 x + 2\
\hline
\end{array}$$
A) $4 x ^ { 3 } + 2 x ^ { 2 } + 6 x + 10$
B) $6 x ^ { 5 } + 14 x ^ { 2 } + 6 x + 7$
C) $6 x ^ { 5 } + 18 x ^ { 3 } + 30 x$
D) $4 x ^ { 3 } + 14 x ^ { 2 } + 26 x + 10$

Question

Use a vertical format to find the product.
-$$\begin{array} { r } 
x ^ { 2 } + 3 x + 5 \
4 x + 2\
\hline  
\end{array}$$
A) $4 x ^ { 3 } + 2 x ^ { 2 } + 6 x + 10$
B) $6 x ^ { 5 } + 14 x ^ { 2 } + 6 x + 7$
C) $6 x ^ { 5 } + 18 x ^ { 3 } + 30 x$
D) $4 x ^ { 3 } + 14 x ^ { 2 } + 26 x + 10$

Quizplus · Accepted Answer

To find the product, each term in the first polynomial is multiplied by each term in the second polynomial and then the results are added together. Multiplying $x^2$ by $4x$ gives $4x^3$, $x^2$ by $2$ gives $2x^2$, $3x$ by $4x$ gives $12x^2$, $3x$ by $2$ gives $6x$, $5$ by $4x$ gives $20x$, and $5$ by $2$ gives $10$. Adding these results together gives $4x^3 + 14x^2 + 26x + 10$.

Use a Vertical Format to Find the Product x2+3x+54x+2\begin{array} { r } x ^ { 2 } + 3 x + 5 \\4 x + 2\\\hline \end{array}x2+3x+54x+2​​

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