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

Question

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

Quizplus · Accepted Answer

When adding polynomials vertically, you combine like terms. For the given polynomials, $3x^7 + 2x^7 = 5x^7$, $6x^6 + 3x^6 = 9x^6$, and $-5x - 4x = -9x$. Therefore, the sum is $5x^7 + 9x^6 - 9x$.

Use a Vertical Format to Add the Polynomials 3x7+6x6−5x2x7+3x6−4x\begin{array} { l } 3 x ^ { 7 } + 6 x ^ { 6 } - 5 x \\2 x ^ { 7 } + 3 x ^ { 6 } - 4 x \\\hline\end{array}3x7+6x6−5x2x7+3x6−4x​​

Use a Vertical Format to Add the Polynomials $\begin{array} { l } 3 x ^ { 7 } + 6 x ^ { 6 } - 5 x \\2 x ^ { 7 } + 3 x ^ { 6 } - 4 x \\\hline\end{array}$