Perform the indicated operations. Write the resulting polynomial in standard form.
Add and Subtract Polynomials
-$$\left( 6 x ^ { 4 } + 9 x ^ { 3 } - 3 x ^ { 2 } - 4 \right) + \left( 3 x ^ { 4 } + 7 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)$$
A) $9 x ^ { 4 } + 16 x ^ { 3 } - 12 x ^ { 2 } + 1$
B) $9 x ^ { 8 } + 16 x ^ { 6 } - 12 x ^ { 4 } + 1$
C) $13 x ^ { 18 } + 1$
D) $3 x ^ { 4 } + 3 x ^ { 3 } + 11 x ^ { 2 } + 12$

Question

Quizplus · Accepted Answer

To add the polynomials, combine like terms: $6x^4 + 3x^4 = 9x^4$, $9x^3 + 7x^3 = 16x^3$, $-3x^2 - 9x^2 = -12x^2$, and $-4 + 5 = 1$. This results in $9x^4 + 16x^3 - 12x^2 + 1$.

Perform the Indicated Operations (6x4+9x3−3x2−4)+(3x4+7x3−9x2+5)\left( 6 x ^ { 4 } + 9 x ^ { 3 } - 3 x ^ { 2 } - 4 \right) + \left( 3 x ^ { 4 } + 7 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)(6x4+9x3−3x2−4)+(3x4+7x3−9x2+5)

Perform the Indicated Operations $\left( 6 x ^ { 4 } + 9 x ^ { 3 } - 3 x ^ { 2 } - 4 \right) + \left( 3 x ^ { 4 } + 7 x ^ { 3 } - 9 x ^ { 2 } + 5 \right)$