Q1 of 47 Page 80

Determine whether (x + 1) is a factor of the following polynomials:

x3 – 14x2 + 3x + 12

Let f(x) = x3 – 14x2 + 3x + 12


By factor theorem,


x + 1 = 0 ;x = – 1


If f(– 1) = 0 then (x + 1) is a factor of f(x)


∴f(– 1) = (– 1)3 – 14(– 1)2 + 3(– 1) + 12


= – 1 – 14 – 3 + 12 = – 6(not equal to 0)


∴(x + 1) is not a factor of f(x) = x3 – 14x2 + 3x + 12


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