Use a vertical format to add the polynomials.
-$$\begin{array} { l }
5 x ^ { 8 } + 2 x ^ { 7 } - 8 x ^ { 6 } + 6 \
9 x ^ { 8 } + 2 x ^ { 7 } + 6 x ^ { 6 } - 9 \
\hline
\end{array}$$
A) $8 x ^ { 8 } + 8 x ^ { 7 } - 4 x ^ { 6 } + 11$
B) $16 x ^ { 42 } - 3$
C) $14 x ^ { 8 } + 4 x ^ { 7 } - 2 x ^ { 6 } - 3$
D) $14 x ^ { 16 } + 4 x ^ { 14 } - 2 x ^ { 12 } - 3$

Question

Use a vertical format to add the polynomials.
-$$\begin{array} { l } 
5 x ^ { 8 } + 2 x ^ { 7 } - 8 x ^ { 6 } + 6 \
9 x ^ { 8 } + 2 x ^ { 7 } + 6 x ^ { 6 } - 9 \
\hline
\end{array}$$
A) $8 x ^ { 8 } + 8 x ^ { 7 } - 4 x ^ { 6 } + 11$
B) $16 x ^ { 42 } - 3$
C) $14 x ^ { 8 } + 4 x ^ { 7 } - 2 x ^ { 6 } - 3$
D) $14 x ^ { 16 } + 4 x ^ { 14 } - 2 x ^ { 12 } - 3$

Quizplus · Accepted Answer

Adding the polynomials vertically, we align like terms and add them together: $5x^8 + 9x^8 = 14x^8$, $2x^7 + 2x^7 = 4x^7$, $-8x^6 + 6x^6 = -2x^6$, and $6 - 9 = -3$. This results in $14x^8 + 4x^7 - 2x^6 - 3$.

Use a Vertical Format to Add the Polynomials 5x8+2x7−8x6+69x8+2x7+6x6−9\begin{array} { l } 5 x ^ { 8 } + 2 x ^ { 7 } - 8 x ^ { 6 } + 6 \\9 x ^ { 8 } + 2 x ^ { 7 } + 6 x ^ { 6 } - 9 \\\hline\end{array}5x8+2x7−8x6+69x8+2x7+6x6−9​​

Use a Vertical Format to Add the Polynomials $\begin{array} { l } 5 x ^ { 8 } + 2 x ^ { 7 } - 8 x ^ { 6 } + 6 \\9 x ^ { 8 } + 2 x ^ { 7 } + 6 x ^ { 6 } - 9 \\\hline\end{array}$