Find the sum of the polynomials. $\begin{array} { r }
x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \
8 x ^ { 3 } - 2 x - 7\
\hline
\end{array}$
A) $x ^ { 4 } + 17 x ^ { 3 } + 3 x$
B) $17 x ^ { 3 } + 3 x$
C) $17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 }$
D) $x ^ { 4 } + 17 x ^ { 3 } + 3 x + 14$
E) $17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } - 14$

Question

Find the sum of the polynomials. $\begin{array} { r } 
x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \
8 x ^ { 3 } - 2 x - 7\
\hline
\end{array}$
A) $x ^ { 4 } + 17 x ^ { 3 } + 3 x$
B) $17 x ^ { 3 } + 3 x$
C) $17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 }$
D) $x ^ { 4 } + 17 x ^ { 3 } + 3 x + 14$
E) $17 x ^ { 6 } + x ^ { 4 } + 3 x ^ { 2 } - 14$

Quizplus · Accepted Answer

To find the sum, combine like terms: $x^4$ remains unchanged, $9x^3 + 8x^3 = 17x^3$, $5x - 2x = 3x$, and $7 - 7 = 0$, resulting in $x^4 + 17x^3 + 3x$.

Find the Sum of the Polynomials x4+9x3+5x+78x3−2x−7\begin{array} { r } x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \\8 x ^ { 3 } - 2 x - 7\\\hline\end{array}x4+9x3+5x+78x3−2x−7​​

Find the Sum of the Polynomials $\begin{array} { r } x ^ { 4 } + 9 x ^ { 3 } + 5 x + 7 \\8 x ^ { 3 } - 2 x - 7\\\hline\end{array}$