Question

show that x^3-6x+11x-6 is divisible by x-1​

Answer 1

Answer:

Proved

Step-by-step explanation:

Finding the zero of (x-1)

x-1=0

or, x = -1

Now, replacing the value of x expression:

x^3-6x+11x-6

=(-1)^3-6(-1)+11(-1)-6

= -1 +6  -11 -6

= 12 - 12

= 0 [Remainder]

Since the remainder is 0, x^3-6x+11x-6 is divisible by x-1