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SSC CGL 2018 PYQ — Question 14

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q14

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If f(x) = (x − 2)(x2 + Px + 4) and (x − 3) is a factor of f(x), then what is the value of P?

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Correct answer: C

Explanation

The correct option is 3.

If f(x) = (x − 2) (x2 + Px + 4) and (x − 3) is a factor of f(x) Let say, (x-m) is another factor of f(x).

So, (x − 3) (x − m) = x2 + Px + 4

or, (x2 − 3x − mx + 3m) = (x2 + Px + 4)

or, −x (3 + m) + 3m = Px + 4.

So, by comparing both side , we can say that :

−(3 + m) = P and 3m = 4.

or, m = 

So, P = 

C is correct choice.