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 ?

Guest Sep 3, 2021