Perform the indicated operations. Write the resulting polynomial in standard form.
Add and Subtract Polynomials
-$$\left( - 4 x ^ { 5 } - 8 x ^ { 4 } - 2 x ^ { 3 } + 6 \right) + \left( 6 x ^ { 5 } + 2 x ^ { 4 } + 9 x ^ { 3 } + 5 \right)$$
A) $2 x ^ { 5 } - 6 x ^ { 4 } + 7 x ^ { 3 } + 11$
B) $10 x ^ { 5 } + 10 x ^ { 4 } + 11 x ^ { 3 } - 1$
C) $2 x ^ { 5 } + 10 x ^ { 4 } + 11 x ^ { 3 } - 1$
D) $10 x ^ { 5 } + 10 x ^ { 4 } + 11 x ^ { 3 } + 11$

Question

Quizplus · Accepted Answer

Explanation:Combine like terms.$ \left( - 4 x ^ { 5 } - 8 x ^ { 4 } - 2 x ^ { 3 } + 6 \right) + \left( 6 x ^ { 5 } + 2 x ^ { 4 } + 9 x ^ { 3 } + 5 \right) $$ = - 4 x ^ { 5 } - 8 x ^ { 4 } - 2 x ^ { 3 } + 6 + 6 x ^ { 5 } + 2 x ^ { 4 } + 9 x ^ { 3 } + 5 $$ = \left( - 4 x ^ { 5 } + 6 x ^ { 5 } \right) + \left( - 8 x ^ { 4 } + 2 x ^ { 4 } \right) + \left( - 2 x ^ { 3 } + 9 x ^ { 3 } \right) + \left( 6 + 5 \right) $$ = 2 x ^ { 5 } - 6 x ^ { 4 } + 7 x ^ { 3 } + 11$

Perform the Indicated Operations (−4x5−8x4−2x3+6)+(6x5+2x4+9x3+5)\left( - 4 x ^ { 5 } - 8 x ^ { 4 } - 2 x ^ { 3 } + 6 \right) + \left( 6 x ^ { 5 } + 2 x ^ { 4 } + 9 x ^ { 3 } + 5 \right)(−4x5−8x4−2x3+6)+(6x5+2x4+9x3+5)

Perform the Indicated Operations $\left( - 4 x ^ { 5 } - 8 x ^ { 4 } - 2 x ^ { 3 } + 6 \right) + \left( 6 x ^ { 5 } + 2 x ^ { 4 } + 9 x ^ { 3 } + 5 \right)$