Find $h ( x ) = f ( x ) + g ( x )$ where $f ( x ) = 8 x ^ { 3 } - 9 x ^ { 2 } + 8$ and $g ( x ) = 10 - x - x ^ { 2 } - 9 x ^ { 3 }$
A) $h ( x ) = - x ^ { 3 } - 10 x ^ { 2 } - x + 18$
B) $h ( x ) = - x ^ { 6 } - 8 x ^ { 2 } - x - 2$
C) $h ( x ) = 17 x ^ { 3 } - 8 x ^ { 2 } - x - 2$
D) $h ( x ) = - 17 x ^ { 3 } - 8 x ^ { 2 } - x - 2$
E) $h ( x ) = - x ^ { 3 } - 10 x ^ { 2 } + x + 18$

Question

Quizplus · Accepted Answer

To find $h(x) = f(x) + g(x)$, add the corresponding coefficients of the same degree terms from $f(x)$ and $g(x)$: $8x^3 - 9x^2 + 8$ and $-9x^3 - x^2 - x + 10$. The result is $(-x^3) - 10x^2 - x + 18$.

Find h(x)=f(x)+g(x)h ( x ) = f ( x ) + g ( x )h(x)=f(x)+g(x)

Find $h ( x ) = f ( x ) + g ( x )$