Question

Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

Answer 1

-5x^6 - 2x^5 + 4x^2 + 3x + 3

Explanation:

Combine like terms from each of the polynomials.

(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)

(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)

Then, order them by degree.

-5x^6 -2x^5 + 4x^2 + 3x + 3