Mathematics
JAMB 2000
if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax
3 + bx
2 + cx - 1, find a, b, c in that order.
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A.
-1/2, 1., 1/2
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B.
1/2, 1, 1/2
-
C.
1/2, 1, -1/2
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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
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