1. Find the constant a such that (x^2-3x+4)(2x^2+ax+7) = 2x^4-11x^3+30x^2-41x+28
2.Suppose that f is a polynomial such that (x-1)*f(x) = 3x^4+x^3-25x^2+38x-17
a. What is the degree of f?
b. What is the leading term of f(x)?
c. What is the constant term of f(x)?
d. Find f(x)
Find the terms that result in an x^2
x^2 *7 + 2x^2 *4 + (-3x)(ax) = + 30 x^2
15 x^2 - 3ax^2 = 30 x^2
15 -3a = 30
a = -5
Second one Just divide (x-1) into 3x^4 x^3 -25x^2 + 38x -17 via synthetic or longhand division to find (f(x)