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If $\(f(x) = 2x^5 - x^4 + x^2 - 3\)$, and $g(x)$ is a polynomial such that the degree of $f(x) + g(x)$ is 3, then what is the degree of $g(x)$?

Lightning  Jul 26, 2018
 #1
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The only way that  f(x)  + g(x)   is of degree 3  is if the  g(x)  itself is of degree 5   with the first two terms (written in order of descending powers) being -2x^5 + x^4  and the third term being ax^3....where a is a constant.... [there also might be  other terms with  degrees < 3 ]

 

 

cool cool cool

CPhill  Jul 26, 2018

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