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.

Question

Mathematics

Guest

9 June, 14:50

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.

+4

Answers (1)

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Marshall Hines · 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