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Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^5 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?

 Apr 2, 2021
 #1
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This is a very simple question.

If you know what a degree is then you can work it out for yourself.

 

The degree is the highest power of x.

 Apr 2, 2021
 #2
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HINT: What happens when b is equal to zero?

 

Work out the computation and try to think why it would have to be the smallest degree.

 Apr 2, 2021
edited by RiemannIntegralzzz  Apr 2, 2021

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