Subtract.
-$\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)$
A) $-0.9 x^{4}-0.2 x^{2}-3.6 x-1.9$
B) $-0.9 x^{4}-0.2 x^{2}+3.6 x+2.3$
C) $-0.9 x^{4}-0.2 x^{2}-1.9$
D) $-0.9 x^{4}-0.2 x^{2}-3.6 x+2.3$

Question

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the second polynomial and then combining like terms. The correct subtraction is $0.5x^4 - 1.4x^4 = -0.9x^4$, $0 - 0.2x^2 = -0.2x^2$, $0 - 3.6x = -3.6x$, and $0.2 - (-2.1) = 0.2 + 2.1 = 2.3$, resulting in $-0.9 x^{4}-0.2 x^{2}-3.6 x+2.3$.

Subtract - (0.5x4−0.2x2+0.2)−(1.4x4+3.6x−2.1)\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)(0.5x4−0.2x2+0.2)−(1.4x4+3.6x−2.1) A) −0.9x4−0.2x2−3.6x−1.9-0.9 x^{4}-0.2 x^{2}-3.6 x-1.9−0.9x4−0.2x2−3.6x−1.9

Subtract
- $\left(0.5 x^{4}-0.2 x^{2}+0.2\right)-\left(1.4 x^{4}+3.6 x-2.1\right)$ A) $-0.9 x^{4}-0.2 x^{2}-3.6 x-1.9$