1.

Find the value of k if x + k is a factor of the polynomial x3 + kx2 - 2x + k + 5.

Answer»

Let p(x) = x+ kx− 2x + k + 4

As x + k is a factor

∴ p(−k) = 0

p(−k) = −k+ k+ 2k + k + 4

⇒ 3k + 4

As 3k + 4 = 0

∴k = \(\frac{-4}{3}\)



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