Question

1. simplify by adding (6x^2 - x + 3) and (-2x^2 + 4x - 5).

a. (4x^2 + 3x - 2)
b. (4x^2 + 5x - 2)
c. (8x^2 + 3x + 8)
d. (4x^2 + 3x + 2)

Explanation:

Step1: Combine like terms for \(x^2\)

\(6x^2 + (-2x^2) = (6 - 2)x^2 = 4x^2\)

Step2: Combine like terms for \(x\)

\(-x + 4x = (-1 + 4)x = 3x\)

Step3: Combine constant terms

\(3 + (-5) = 3 - 5 = -2\)

Step4: Combine all terms

\(4x^2 + 3x - 2\)

Answer:

a. \(4x^2 + 3x - 2\)