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1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

 

2. If we multiply a polynomial by a constant, is the result a polynomial?

 

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

 Aug 1, 2020
 #1
avatar+21955 
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1)  k = 0

 

2)  yes; and the polynomial remains at the same degree

 

3)  yes; the leading terms of f and g must have negative coefficients.

 Aug 1, 2020

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