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30 April, 2010

Value of a polynomial at a point

This task is based on following objectives: 1. Value of a polynomial at a point 2.Concept of zero of a polynomial

Q1 If P (x) = x^4 + 2x^3 - 10x^2 - 14x + 21, then find P(1), P(-1) and P(1/2). Q2 Find the zeroes of the following polynomials: a) P(x) =3x-5 b) P(x) = 2x+7 Q3 Check whether -2 and 2 are the zeroes of the polynomial x^4 − 16 . Q4 Give examples to justify the following statements: a) A zero of a polynomial need not be 0. b) 0 may be a zero of a polynomial. c) Every linear polynomial has one and only one zero. d) A polynomial can have more than one zero.

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