if (x – 1), (x + 1) and (x – 2) are factors of the polynomial ax3 + bx2 + cx – 1, find a, b, c in that order.
-
A.
-1/2, 1., 1/2 -
B.
1/2, 1, 1/2 -
C.
1/2, 1, -1/2 -
D.
1/2, -1, 1/2
Correct Answer: Option A
Explanation
This is a polynomial of the 3rd order, thus x should have three answers. Use the factors given to get values of x as 1, -1 and -2.
Form three equations, and carry out elimination and subsequent substitution to get a = -1/2, b = 1, and c = 1/2