Find the value of k, if x − 1 is a factor of p(x) in each of the following cases: p(x) = kx^2 − 3x + k
Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:
p(x) = kx2 − 3x + k
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p(x) = kx2 − 3x + k
⇒ p(1) = 0
⇒ k(1)2 − 3(1) + k = 0
⇒ k − 3 + k = 0
⇒ 2k − 3 = 0
⇒ k = 3/2
Therefore, the value of k is 3/2.
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