Use a vertical format to find the product.
-$\begin{array} { r }
4 x ^ { 2 } + 3 x + 6 \
x + 2\\hline
\end{array}$
A) $12 x ^ { 3 } + 8 x ^ { 2 } + 6 x + 8$
B) $12 x ^ { 3 } + 9 x ^ { 2 } + 18 x$
C) $4 x ^ { 3 } + 11 x ^ { 2 } + 12 x + 12$
D) $4 x ^ { 3 } + 8 x ^ { 2 } + 6 x + 12$

Question

Use a vertical format to find the product.
-$\begin{array} { r } 
4 x ^ { 2 } + 3 x + 6 \
x + 2\\hline
\end{array}$
A) $12 x ^ { 3 } + 8 x ^ { 2 } + 6 x + 8$
B) $12 x ^ { 3 } + 9 x ^ { 2 } + 18 x$
C) $4 x ^ { 3 } + 11 x ^ { 2 } + 12 x + 12$
D) $4 x ^ { 3 } + 8 x ^ { 2 } + 6 x + 12$

Quizplus · Accepted Answer

To find the product using a vertical format, multiply each term in the first polynomial by each term in the second polynomial and add the results: $4x^2(x) + 4x^2(2) + 3x(x) + 3x(2) + 6(x) + 6(2) = 4x^3 + 8x^2 + 3x^2 + 6x + 6x + 12 = 4x^3 + 11x^2 + 12x + 12.$

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

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