Question

The expression x^3-4x^2+x+6 and x^3-3x^2+2x+k hv a common factor.Find possible values of k.
@ganeshie8

Answer 1

@DLS

Answer 2

@DLS

Answer 3

why am I being tagged lmfao

Answer 4

I ain't even getting notification of being tagged!

Answer 5

x^3-4x^2+x+6
Try to factor this.
Try a few small values for x such as +1, -1, +2, -2, etc. until you find one factor.
x = 1: 1 - 4 + 1 + 6 = 4
x = -1: -1 - 4 -1 + 6 = 0. (x+1) is a factor.
Do synthetic division of: (x^3-4x^2+x+6) / (x+1).
Find the quotient. Factor the quadratic and find the other two factors.

Answer 6

factors of 6...
(x+1)(x+2)(x-3)
something like this?

Answer 7

Alright,I'll give it a shot =]
The expression x^3-4x^2+x+6 and x^3-3x^2+2x+k hv a common factor.Find possible values of k.

Lets take up the first equation.
x^3-4x^2+x+6=0
We try to find ONE factor by hit and trial to apply remainder factor theorem.
We usually try small values like x=0,1,-1.
If you observe, "-1" satisfies the equation (i)...so..(x+1) is a factor here.
Now we divide the equation by its factor i.e x+1 and we get the required stuff.