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Find the value of k if x + k is a factor of the polynomial x3 + kx2 - 2x + k + 5. |
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Answer» Let p(x) = x3 + kx2 − 2x + k + 4 As x + k is a factor ∴ p(−k) = 0 p(−k) = −k3 + k3 + 2k + k + 4 ⇒ 3k + 4 As 3k + 4 = 0 ∴k = \(\frac{-4}{3}\) |
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