Question

1. find the result of adding (0.5x^{3}-1.2x^{2}+0.3x - 2) and (-0.5x^{3}+1.4x^{2}-0.3x + 2).

a. (-1.1x^{3}+0.2x^{2}-2)

b. (0.2x^{2}-4)

c. (1.2x^{2}+0.3x)

d. (0.2x^{2}+0)

Explanation:

Step1: Group like terms

$(0.5x^3 - 0.5x^3) + (-1.2x^2 + 1.4x^2) + (0.3x - 0.3x) + (-2 + 2)$

Step2: Combine $x^3$ terms

$0.5x^3 - 0.5x^3 = 0$

Step3: Combine $x^2$ terms

$-1.2x^2 + 1.4x^2 = 0.2x^2$

Step4: Combine $x$ terms

$0.3x - 0.3x = 0$

Step5: Combine constant terms

$-2 + 2 = 0$

Step6: Sum all results

$0 + 0.2x^2 + 0 + 0 = 0.2x^2 + 0$

Answer:

d. $0.2x^{2}+0$