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Question
(x – 2) is a factor of ______.
Options
x3 – x2 + x – 6
x3 + x2 + x + 6
2x3 – 6x2 + 5x – 1
x3 – 4x2 + x – 8
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Solution
(x – 2) is a factor of x3 – x2 + x – 6.
Explanation:
Let f(x) = x3 – x2 + x – 6
Here f(2) = 23 – 22 + 2 – 6
= 8 – 4 + 2 – 6
= 0
∴ x – 2 is a factor of f(x).
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