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प्रश्न
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
उत्तर
If x − 1 is a factor of polynomial p(x), then p(1) must be 0.
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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