Use a vertical format to add the polynomials.
- $\begin{array} { r r }
- 6 x ^ { 3 } & + 5 x + 6 \
8 x ^ { 2 } & + 2 x + 4\\hline
\end{array}$
A) $2 x ^ { 3 } + 7 x + 10$
B) $2 x ^ { 3 } + 13 x ^ { 2 } + 6 x + 4$
C) $- 6 x ^ { 3 } + 8 x ^ { 2 } + 7 x + 10$
D)- $- 6 x ^ { 3 } + 13 x ^ { 2 } + 8 x + 4$

Question

Use a vertical format to add the polynomials.
-  $\begin{array} { r r } 
- 6 x ^ { 3 } & + 5 x + 6 \
8 x ^ { 2 } & + 2 x + 4\\hline
\end{array}$
A) $2 x ^ { 3 } + 7 x + 10$
B) $2 x ^ { 3 } + 13 x ^ { 2 } + 6 x + 4$
C) $- 6 x ^ { 3 } + 8 x ^ { 2 } + 7 x + 10$
D)- $- 6 x ^ { 3 } + 13 x ^ { 2 } + 8 x + 4$

Quizplus · Accepted Answer

When adding polynomials vertically, we align like terms and add them together. The given polynomials do not have terms for every power of $x$, so we fill in the missing terms with zeros. The correct addition is $-6x^3 + 0x^2 + 5x + 6$ added to $0x^3 + 8x^2 + 2x + 4$, which results in $-6x^3 + 8x^2 + 7x + 10$.

Use a Vertical Format to Add the Polynomials −6x3+5x+68x2+2x+4\begin{array} { r r } - 6 x ^ { 3 } & + 5 x + 6 \\8 x ^ { 2 } & + 2 x + 4\\\hline\end{array}−6x38x2​+5x+6+2x+4​​

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