Question

1. when (4x⁵ + 11x⁴ - 6x² + 2x) is added from (2x⁵ + 11x⁴ + 9x² - 2x), what will be the result?

Explanation:

Step1: Identify the polynomials to add

We have two polynomials: \(4k^5 + 11k^4 - 6k^3 + 2k^2\) and \(2k^5 + 11k^4 + 9k^3 - 2k^2\).

Step2: Combine like terms for \(k^5\)

\(4k^5 + 2k^5 = (4 + 2)k^5 = 6k^5\)

Step3: Combine like terms for \(k^4\)

\(11k^4 + 11k^4 = (11 + 11)k^4 = 22k^4\)

Step4: Combine like terms for \(k^3\)

\(-6k^3 + 9k^3 = (-6 + 9)k^3 = 3k^3\)

Step5: Combine like terms for \(k^2\)

\(2k^2 - 2k^2 = (2 - 2)k^2 = 0k^2\) (which we can ignore as it's zero)

Answer:

\(6k^5 + 22k^4 + 3k^3\)