Question

Find the sum: (x5 - 3x4 + x2 - 4) + (5x4 + 3x2 + 2x + 1). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write as 4x^2.

Answer 1

For this case we have the following polynomials:
(x5 - 3x4 + x2 - 4)
(5x4 + 3x2 + 2x + 1)
Adding we have:
(x5 - 3x4 + x2 - 4) + (5x4 + 3x2 + 2x + 1)
= x ^ 5 + x ^ 4 (-3 + 5) + x ^ 2 (1 + 3) + 2x + (-4 + 1)
Rewriting we have:
= x ^ 5 + 2x ^ 4 + 4x ^ 2 + 2x - 3
Answer:
The sum of the polynomials is:
x ^ 5 + 2x ^ 4 + 4x ^ 2 + 2x - 3