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# polynomial confusion

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

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

What is the degree of f?

Jan 29, 2021

### 1+0 Answers

#1
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f  must  be degree 5  .......multiplying it by (2x + 3)  gives a polynomial of the 6th degree

And  since the  highest  degree of g is 5,  then adding  g  to    (2x + 3)f(x)     produces a 6th degree polynomial Jan 29, 2021
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