Question

Show that x-3 is a factor of x3 -3x2 +4x -12​

Answer 1

Answer:

By long division method the given polynomial can be simplified to \frac{x^3-4x^2+x+6}{x-3}=x^2-x-2

x−3

x

3

−4x

2

+x+6

=x

2

−x−2

Step-by-step explanation:

Given that x-3 is a factor of the polynomial 6+x-4x^2+x^36+x−4x

2

+x

3

Rewritting the given polynomial as x^3-4x^2+x+6x

3

−4x

2

+x+6

To Solve the given polynomial by long division method :

x^2-x-2x

2

−x−2

_______________

x-3 )x^3-4x^2+x+6x

3

−4x

2

+x+6

x^3-3x^2x

3

−3x