suppose 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)
(x-1) * f(x) = 3x^4+x^3-25x^2+38x-17 f(x) must be degree 3 after multiplication by 'x' in (x-1) the nuw fxn bumps up to 4th degree
leading term must be 3 x^3
constant must be 17 ( - 1 from the first part * 17 from f(x) will give -17 in the final )
divide (x-1) into 3x^4+x^3-25x^2+38x-17 to find f(x)