Q13 of 113 Page 71

Show that (x + 2) is a factor of f(x) = x3 + 4x2 + x – 6.

It is given in the question that,

f (x) = x3 + 4x2 + x – 6


Now, we have


f (- 2) = (- 2)3 + 4 (- 2)2 + (- 2) - 6


= - 8 + 16 – 2 - 6


= 0


Hence, (x + 2) is a factor of f (x)


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