SOLUTION: Use the Factor Theorem to determine whether x-2 is a factor of P(x)= x^4-2x^3+3x-6. Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Factor Theorem to determine whether x-2 is a factor of P(x)= x^4-2x^3+3x-6. Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.      Log On


   



Question 748025: Use the Factor Theorem to determine whether x-2 is a factor of P(x)= x^4-2x^3+3x-6.
Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The Factor theorem tells us that if we evaluate a polynomial at one of its roots the value will be 0
%0D%0AP%280%29=+%280%29%5E4-2%280%29%5E3%2B3%280%29-6=-6%0D%0A

therefore x-2 is not a factor


:)