Add the polynomials.
-$\left( 7 x ^ { 5 } + 6 x ^ { 3 } + 4 \right) + \left( 7 x ^ { 5 } - 3 x ^ { 3 } - 3 \right)$
A) $11 x ^ { 5 } + 4 x ^ { 3 } + 3$
B) $18 x ^ { 8 }$
C) $14 + 3 x ^ { 5 } + 1 x ^ { 3 }$
D) $14 x ^ { 5 } + 3 x ^ { 3 } + 1$

Question

Quizplus · Accepted Answer

When adding polynomials, you combine like terms. Here, $7x^5 + 7x^5 = 14x^5$, $6x^3 - 3x^3 = 3x^3$, and $4 - 3 = 1$, resulting in $14x^5 + 3x^3 + 1$.

Add the Polynomials (7x5+6x3+4)+(7x5−3x3−3)\left( 7 x ^ { 5 } + 6 x ^ { 3 } + 4 \right) + \left( 7 x ^ { 5 } - 3 x ^ { 3 } - 3 \right)(7x5+6x3+4)+(7x5−3x3−3)

Add the Polynomials $\left( 7 x ^ { 5 } + 6 x ^ { 3 } + 4 \right) + \left( 7 x ^ { 5 } - 3 x ^ { 3 } - 3 \right)$