When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.
Factorisation
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Question

When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

KnowledgeBoat · Accepted Answer

x - 2 = 0 ⇒ x = 2. Given, when x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. ∴ On substituting x = 2 in x³ + 2x² - kx + 4, remainder = k. ⇒ (2)³ + 2(2)² - k(2) + 4 = k ⇒ 8 + 8 - 2k + 4 = k ⇒ 20 - 2k = k ⇒ 3k = 20 ⇒ k = Hence, k =

Mathematics

When x³ + 2x² - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

Factorisation

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When x3 + 2x2 - kx + 4 is divided by x - 2, the remainder is k. Find the value of constant k.

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