Question

add the polynomials.
(3x³ + 3x² - 4x + 5) + (x³ - 2x² + x - 4)
3x⁵ +1x - 1x⁵ - 3x
2x³ + 1x² - 5x + 9
4x³ + 1x² - 3x + 1
6x³ + 1x - 1x² - 3

Explanation:

Step1: Remove parentheses

$(3x^3 + 3x^2 - 4x + 5) + (x^3 - 2x^2 + x - 4) = 3x^3 + 3x^2 - 4x + 5 + x^3 - 2x^2 + x - 4$

Step2: Group like terms

$=(3x^3 + x^3) + (3x^2 - 2x^2) + (-4x + x) + (5 - 4)$

Step3: Combine like terms

$=4x^3 + 1x^2 - 3x + 1$

Answer:

$4x^3 + 1x^2 - 3x + 1$