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Q132 (IAS/2000) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

If X = -2, then X^3 - X^2 - X - 1 is equal to

Result
Your answer: —  Â·  Correct: C
Explanation

Evaluate the cubic by direct substitution: for x = -2, x^3 = (-2)^3 = -8 and x^2 = (-2)^2 = 4. Plugging these into x^3 - x^2 - x - 1 gives -8 - 4 - (-2) - 1. Simplify stepwise: -8 - 4 + 2 - 1 = -11. Thus the value of the polynomial at x = -2 is -11. This follows the standard procedure for evaluating a cubic polynomial by substituting the given x-value and carrying out arithmetic operations, as described in polynomial/cubic evaluation references [1].

Sources

  1. [1] https://www.mathcentre.ac.uk/resources/uploaded/mc-ty-cubicequations-2009-1.pdf
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