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would really appreciate help on the following problems:

 

1.Let f(x)=x^3+3x^2+4x-7 and g(x)=-7x^4+5x^3+x^2-7. What is the coefficient of  in the sum ?

 

2.Let f(x)=x^4-3x^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*g(x) ?

 

3.Suppose f is a polynomial such that f(0)=47,f(1)=32 , f(2)=-13 , and f(3)=16. What is the sum of the coefficients of f ?

 Sep 3, 2021
 #1
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2. The smallest possible degree of f(x) + b*g(x) is 4.

 

3. The sum of the coefficients of f is 32 - 47 = -15.

 Sep 3, 2021
 #2
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thank you so much!!!

Guest Sep 4, 2021

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