When X3 + 3x2 – Kx + 4 is Divided by (X – 2), the Remainder is K. Find the Value of K.

When x³ + 3x²– kx + 4 is divided by (x – 2), the remainder is k. Find the value of k.

Sum

Here, P(2) = k
⇒ 2³ + 3(2)² - k(2) + 4 = k
⇒ 8 + 12 - 2k + 4 = k
⇒ 3k = 24
⇒ k = 8

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