Find the value of k if (x – 2) is a factor of polynomial x^3 – 4x^2 + kx – 8.

A6

B8

C10

D12

Explanation

By Factor Theorem, P(2) = 0 => 2^3 – 4(2^2) + k(2) – 8 = 0 => 8 – 16 + 2k – 8 = 0 => 2k – 16 = 0 => k = 8.

Exam Relevance

Topic: Algebra
Subtopic: Polynomials

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