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)

Leaded Aug 18, 2020

#1**+1 **

(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)

ElectricPavlov Aug 18, 2020