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# What???

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

$$(x^2+3x-3)\cdot f(x)+h(x)= -6x^6+72x^4 -50x^3 + 13x^2 +38x -44$$

What is the degree of f?

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