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Question
Is (x – 2) a factor of x3 – 4x2 – 11x + 30?
Options
Yes
No
Nothing can be said
None of the above is true
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Solution
Yes
Explanation:
Let f(x) = x3 – 4x2 – 11x + 30
Here f(2) = 23 – 4 × 22 – 11 × 2 + 30
= 8 – 16 – 22 + 30
= 0
∴ x – 2 is a factor of f(x)
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