Change set
Pick exam & year, then Go.
Question map
Not attempted
Correct
Incorrect
★
Bookmarked
Loading…
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:
—
·
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] https://www.mathcentre.ac.uk/resources/uploaded/mc-ty-cubicequations-2009-1.pdf
How others answered
Each bar shows the % of students who chose that option.
Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
86%
got it right
✓ Thank you! We'll review this.
SIMILAR QUESTIONS
5 Cross-Linked PYQs
UPSC repeats concepts across years. Login to see how this question connects to 5 others.
Login with Google