Use a vertical format to add the polynomials.
-$\begin{array} { l }
6 x ^ { 6 } - 5 x ^ { 3 } + 9 x \
3 x ^ { 6 } + 8 x ^ { 3 } + 3 x\\hline
\end{array}$
A) $9 x + 3 x ^ { 6 } + 12 x ^ { 3 }$
B) $9 x ^ { 6 } + 3 x ^ { 3 } + 12 x$
C) $24 x ^ { 10 }$
D) $12 x ^ { 6 } + 14 x ^ { 3 } - 2 x$

Question

Use a vertical format to add the polynomials.
-$\begin{array} { l } 
6 x ^ { 6 } - 5 x ^ { 3 } + 9 x \
3 x ^ { 6 } + 8 x ^ { 3 } + 3 x\\hline
\end{array}$
A) $9 x + 3 x ^ { 6 } + 12 x ^ { 3 }$
B) $9 x ^ { 6 } + 3 x ^ { 3 } + 12 x$
C) $24 x ^ { 10 }$
D) $12 x ^ { 6 } + 14 x ^ { 3 } - 2 x$

Quizplus · Accepted Answer

When adding polynomials vertically, you combine like terms. Here, $6x^6 + 3x^6 = 9x^6$, $-5x^3 + 8x^3 = 3x^3$, and $9x + 3x = 12x$, resulting in $9x^6 + 3x^3 + 12x$.

Use a Vertical Format to Add the Polynomials 6x6−5x3+9x3x6+8x3+3x\begin{array} { l } 6 x ^ { 6 } - 5 x ^ { 3 } + 9 x \\3 x ^ { 6 } + 8 x ^ { 3 } + 3 x\\\hline\end{array}6x6−5x3+9x3x6+8x3+3x​​

Use a Vertical Format to Add the Polynomials $\begin{array} { l } 6 x ^ { 6 } - 5 x ^ { 3 } + 9 x \\3 x ^ { 6 } + 8 x ^ { 3 } + 3 x\\\hline\end{array}$