Perform the indicated operations. Write the resulting polynomial in standard form.
Add and Subtract Polynomials
-$$\left( 6 x ^ { 6 } + 18 x ^ { 4 } + 12 \right) - \left( 9 x ^ { 6 } - 4 x ^ { 4 } + 14 \right)$$
A) $- 3 x ^ { 6 } + 22 x ^ { 4 } - 2$
B) $- 3 x ^ { 6 } + 27 x ^ { 4 } + 26$
C) $- 3 x ^ { 6 } + 22 x ^ { 4 } + 26$
D) $17 x ^ { 10 }$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first gives: $6x^6 - 9x^6 = -3x^6$, $18x^4 + 4x^4 = 22x^4$, and $12 - 14 = -2$. So, the resulting polynomial is $-3x^6 + 22x^4 - 2$.

Perform the Indicated Operations (6x6+18x4+12)−(9x6−4x4+14)\left( 6 x ^ { 6 } + 18 x ^ { 4 } + 12 \right) - \left( 9 x ^ { 6 } - 4 x ^ { 4 } + 14 \right)(6x6+18x4+12)−(9x6−4x4+14)

Perform the Indicated Operations $\left( 6 x ^ { 6 } + 18 x ^ { 4 } + 12 \right) - \left( 9 x ^ { 6 } - 4 x ^ { 4 } + 14 \right)$