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Suppose that f is a polynomial and h is a polynomial of degree 5 or less such that

(x2+3x3)f(x)+h(x)=6x6+72x450x3+13x2+38x44

What is the degree of f?


please help...

 Jul 26, 2020
edited by Guest  Jul 26, 2020
 #1
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If h is degree 5 or less    the terms from adding it all have exponents 5 or less

 

f(x) is multiplied by a polynomial of degree 2

    the right side has a term of degree 6      so f(x) must be of degree 4

           example    x^2  * f(x)

                             x^2 * x^4   = x^6

 Jul 26, 2020
 #2
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oh, I never thought of doing it like that! thanks!

 Jul 26, 2020

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