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Find the value of k, if x–1 is a factor of p(x) in each of the following cases:(iv) p(x)=kx2–3x+k Q.3(4)

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Give me the easiest way for solving the problem of question no.3(4) of Polynomials chapter of exercise 2.4 of math, how i solve this tough question in simple way give me solution Find the value of k, if x–1 is a factor of p(x) in each of the following cases:(iv) p(x)=kx2–3x+k

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  1. If x-1 is a factor of p(x), then p(1) = 0

    By Factor Theorem

    ⇒ k(1)2–3(1)+k = 0

    ⇒ k−3+k = 0

    ⇒ 2k−3 = 0

    ⇒ k= 3/2

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