SOLUTION: Suppose that a cubic function f(x)=ax^3+bx^2+cx+d can be factored into two terms, one of which is (x-n). Find the other term using synthetic division. What must be true about an^3

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Suppose that a cubic function f(x)=ax^3+bx^2+cx+d can be factored into two terms, one of which is (x-n). Find the other term using synthetic division. What must be true about an^3      Log On


   

Question 1001275: Suppose that a cubic function f(x)=ax^3+bx^2+cx+d can be factored into two terms, one of which is (x-n). Find the other term using synthetic division.
What must be true about an^3+bn^2+cn+d?
What does this tell us about the value of f(n)?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

n   a   b     c         d
        an    an²+bn    an³+bn²+cn
    --------------------------------
    a   an+b  an²+bn+c  an³+bn²+cn+d

Hence the other factor is

Since is a factor, the remainder after synthetic division, , must equal zero, and


John

My calculator said it, I believe it, that settles it