Answer:
x = -1.5, -1, 2.
Explanation:
I am assuming you want to solve this>
Solve 2x ³ + x ² -7x - 6 = 0
It looks like x = -1 is a solution so we try it:
2*(-1)^3 + (-1)^2 -7(-1) - 6
= -2 + 1 + 7 - 6
= -1 + 1 = 0
So x = -1 is one root.
So (x + 1) must be a factor of P(x)
Now we divide by x + 1:
x + 1)2x ³ + x ² -7x - 6( 2x^2 - x - 6 <--- quotient
2x^3 + 2x^2
-x^2 - 7x
-x^2 - x
-6x - 6
-6x - 6
----------
2x^2 - x - 6 = 0
(2x + 3)(x - 2) = 0
x = -1.5, 2.