Exams › SSC CGL (Prelims) › General

Evaluate the expression x^4 - 15x^3 + 15x^2 - 15x + 40 when x = 14.

1. 0
2. 40
3. 14
4. 26

Correct answer: 26

Solution

With x=14, note that 15 = x+1. Rewrite: x^4 - (x+1)x^3 + (x+1)x^2 - (x+1)x + 40 = x^4 - x^4 - x^3 + x^3 + x^2 - x^2 - x + 40 = -x + 40 = -14 + 40 = 26.

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