Add the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( 4 x ^ { 6 } - 8 x ^ { 4 } + 8 x \right) + \left( 5 x ^ { 6 } - 2 x ^ { 4 } + 5 x \right)$$
A) $9 x - 10 x ^ { 6 } + 13 x ^ { 4 }$
B) $13 x ^ { 6 } + 2 x ^ { 4 } - 3 x$
C) $12 x ^ { 11 }$
D) $9 x ^ { 6 } - 10 x ^ { 4 } + 13 x$

Question

Quizplus · Accepted Answer

To add the polynomials, combine like terms: $4x^6 + 5x^6 = 9x^6$, $-8x^4 - 2x^4 = -10x^4$, and $8x + 5x = 13x$. This results in $9x^6 - 10x^4 + 13x$.

Add the Polynomials (4x6−8x4+8x)+(5x6−2x4+5x)\left( 4 x ^ { 6 } - 8 x ^ { 4 } + 8 x \right) + \left( 5 x ^ { 6 } - 2 x ^ { 4 } + 5 x \right)(4x6−8x4+8x)+(5x6−2x4+5x)

Add the Polynomials $\left( 4 x ^ { 6 } - 8 x ^ { 4 } + 8 x \right) + \left( 5 x ^ { 6 } - 2 x ^ { 4 } + 5 x \right)$