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We have that 3f(x) + 4g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 4 and the degree of h(x) is 6, then what is the minimum possible degree of g(x)?

 Jun 29, 2021
 #1
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Multiplying a polynomial by a non-zero constant does  not  change its  degree

 

So  

 

If  f ( x)  is degree 4     and  h(x)  is degree 6 ,  then  g(x)   must  be   degree 6

 

 

cool cool cool

 Jun 29, 2021

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