Question

use factor theorem to show that (x-3) is a factor of x^3-3x^2+4x-12
PLEASE ANSWER

Answer 1

Put x =3
3^3- 3×3^2 +4 ×3 -12
27 - 27 + 12 -12
=0
Means x -3 is a factor

Answer 2

Let g(x)=x-3
      g(x)=0
           x=3
Putting the value of x in the equation
3³-3(3²)+4(3)-12=0
27-3(9)+12-12=0
27-27+12-12=0
0=0