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Let f(x) = x^4 - 3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x - 1.  What is the degree of f(x) - g(x)?

 Jun 6, 2021
 #1
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Just look at the he=ighest degree terms       x^4 - 2x^4  = - x^4        Degree remains  4  

 Jun 6, 2021

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