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Factor Theorem

If x - 1 is t...

Question

If (x - 1) is the factor of f(x) = $x^{2} - a x + 2$ , find the value of a.

-2

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-3

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Solution

The correct option is C 3
Given: f(x) = $x^{2} - a x + 2$ , x - 1 is the factor of f(x).

Factor theorem: If x - a is the factor of f(x), then f(a) = 0.

(x - 1) is the factor of f(x) = $x^{2} - a x + 2$ , so f(1) = 0.

f(1) = $1^{2} - a (1) + 2$
0 = 3 - a
a = 3

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