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MATHEMATICS

JAMB 2005 - Question 14

Mathematics 2005 JAMB Past Questions - Question 14: A polynomial in x whose zeros are -2,1 and 3 is

A polynomial in x whose zeros are -2,1 and 3 is

A: x³-7x+6

B: x³+7x-6

C: x³+7x+6

D: x³-7x-6

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Correct Answer

Explanation

x = -2, x = -1 and x = 3∴x+2 = 0, x+1 = 0 and x-3 = 0Product of the factors(x+2)(x+1)(x-3) = 0(x2 + 3x + 2)(x-3)x(x2 + 3x + 2) -3(x2 + 3x + 2) = 0x3 + 3x2 + 2x - 3x2 - 9x - 6 = 0x3 - 7x - 6 = 0