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A polynomial in x whose zeros are -2 -1 and 3 is - JAMB Mathematics 2005 Question

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
correct option: d

x = -2, x = -1 and x = 3

∴x+2 = 0, x+1 = 0 and x-3 = 0

Product of the factors

(x+2)(x+1)(x-3) = 0

(x2 + 3x + 2)(x-3)

x(x2 + 3x + 2) -3(x2 + 3x + 2) = 0

x3 + 3x2 + 2x - 3x2 - 9x - 6 = 0

x3 - 7x - 6 = 0

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