Allied & ICAR Exam Bank • ALLIED_2008 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The remainder when the polynomial $P(x) = x^3 - 3x^2 + 5x - 7$ is divided by $(x - 2)$ is:

Answer Key:

-1

Step-by-Step Solution & Explanation

By polynomial remainder theorem, Remainder = $P(2) = 2^3 - 3(2^2) + 5(2) - 7 = 8 - 12 + 10 - 7 = -1$.
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