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

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) (Show Source): You can put this solution on YOUR website!

n   a   b     c         d
        an    an�+bn    an�+bn�+cn
    --------------------------------
    a   an+b  an�+bn+c  an�+bn�+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

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