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5 October, 02:51

Given a polynomial f (x), if (x - 2) is a factor, what else must be true?

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  1. 5 October, 03:16
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    If (x-2) is a factor of polynomial, f (x). Then, it means we can find the zeros or the solutions of the polynomial by putting f (x-2) = 0. Because, the zeros or roots of a polynomial is found by putting f (x) = 0, where x is a factor of the polynomial. Example, say f (x) = x^2-2 Which implies, f (x) = (x-2) (x+2) Here, both x-2 and x+2 are the factors of the polynomial. So, x-2 = 0, we get, x=2 is a zero of the polynomial.
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