Subtract the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( 4 x ^ { 5 } + 5 x ^ { 4 } - 6 x ^ { 3 } - 9 \right) - \left( 6 x ^ { 5 } + 9 x ^ { 4 } + 9 x ^ { 3 } - 6 \right)$$
A) $10 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 15$
B) $- 2 x ^ { 5 } - 4 x ^ { 4 } - 15 x ^ { 3 } - 3$
C) $10 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 3$
D) $- 2 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 15$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first gives: $4x^5 - 6x^5 = -2x^5$, $5x^4 - 9x^4 = -4x^4$, $-6x^3 - 9x^3 = -15x^3$, and $-9 - (-6) = -3$. Thus, the correct answer is $-2x^5 - 4x^4 - 15x^3 - 3$.

Subtract the Polynomials (4x5+5x4−6x3−9)−(6x5+9x4+9x3−6)\left( 4 x ^ { 5 } + 5 x ^ { 4 } - 6 x ^ { 3 } - 9 \right) - \left( 6 x ^ { 5 } + 9 x ^ { 4 } + 9 x ^ { 3 } - 6 \right)(4x5+5x4−6x3−9)−(6x5+9x4+9x3−6)

Subtract the Polynomials $\left( 4 x ^ { 5 } + 5 x ^ { 4 } - 6 x ^ { 3 } - 9 \right) - \left( 6 x ^ { 5 } + 9 x ^ { 4 } + 9 x ^ { 3 } - 6 \right)$