Question

Using the factor theorem show that (x-2) is a factor of (x^3-2x^2-9x+18). Hence factorise the expression completely​

Answer 1

Answer:

Step-by-step explanation:

x-2=0

x=2

x^3-2x^2-9x+18

( substituting the value of x in equation)

2^3-2(2)^2-9(2)+18

8-8-18+18

=0

Since the remainder is zero

Therefore, x-2 is a factor of polynomial x^3-2x^2-9x+18

Hence.proved.