Thread: Factor Theorem and Remainder Theorem

Can anyone explain these to me ? I'm clueless as to how to do these.


Factor Theorem

Use the Factor Theorem to show that x - c is a factor of P(x) for the given value(s) of c.

P(x) - x^3 - 3x^2 + 3x - 1, c = 1


Also i'm having problems with a type of question that I also don't know where to start.

Find a polynomial of the specified degree that has the given zeros.

Degree 3; Zeros -1 , 1, 3


HELP!!!

Originally Posted by JonathanEyoon

Use the Factor Theorem to show that x - c is a factor of P(x) for the given value(s) of c.

P(x) - x^3 - 3x^2 + 3x - 1, c = 1

Find a polynomial of the specified degree that has the given zeros.

Degree 3; Zeros -1 , 1, 3

will be a factor of if , i.e.

_____

Given the zeros, you can set , now expand.

Originally Posted by Krizalid

will be a factor of if , i.e.

_____

Given the zeros, you can set , now expand.

Ohhhhhhhhh ok.... so what does the factor theorem and remainder theorem mean?