InterviewSolution
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InterviewSolution
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Suppose, a, b, c are three distinct real numbers. Let P (x) =`((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b))/((c-a)(c-b))`. When simplified, P (x) becomesA. 1B. xC. `(x^(2)+(a+b+c)(ab+bc+ca))/((a-b)(b-c)(c-a))`D. 0 |
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Answer» Correct Answer - A `P(x)=((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b))/((c-a)(c-b))` `"Let "P(a)=1+0+0=1` `P(b) =0+1+0=1` `P (c) =0+0+1=1` `:. P(x)=1 " for all "x in R`. |
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