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given the polynomial x^4-3xy^2 find a polynomial of x so that the sum of the polynomials equals 4x^5+7xy^2
PLZ HELP WILL MARK BRAINLEST IF CORRECT WITH SOME WHAT OF AN EXPLANATION

Respuesta :

Answer:

4x^5 - x^4 + 10xy^2.

Step-by-step explanation:

x^4 - 3xy^2 + P(x) = 4x^5 + 7xy^2

P(x) = 4x^5 + 7xy^2 -  (x^4 - 3xy^2)

= 4x^5 + 7xy^2 - x^4 + 3xy^2

= 4x^5 - x^4 + 10xy^2.