Answer:
The equation of the line segment between points A and X is
Then we need that the point C satisfy:
.
This implies that
We replace the value of s in the equation we get from the second component
Then the point lies on the line through A and X.
-4 x³+2x²-5x+3x²
combine like terms
-4x³ +5x²-5x
common factors
-1(4x³-5x²+5x)
find one factors
Ans: -x (4x²-5x+5)