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 Let and . Let be a constant. What is the smallest possible degree of the polynomial ?

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

 Dec 4, 2014

Best Answer 

 #1
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Note that, if b = -1/2,  we we have a final result of  -x + 5/2

So...the smallest possible degree is 1

 

 Dec 4, 2014

1+0 Answers

 #1
avatar+130511 
+5
Best Answer

Note that, if b = -1/2,  we we have a final result of  -x + 5/2

So...the smallest possible degree is 1

 

CPhill Dec 4, 2014

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