In this chapter, we will try to answer these questions. We will also study division algorithm for polynomials. 12 Geometrical Meaning of the Zeroes of a Polynomial You know that a real number k is a zero of the polynomial p(x) if p(k) = 0. But are the zeroes of a polynomial so important? To answer this, first we will se geometrical representations of linear and quadratic polynomials and the geome meaning of their zeroes.
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In the study of polynomials, you are aware that a real number ‘k’ is a zero of the polynomial p(x) if p(k) = 0. Remember, zero of a polynomial is different from a zero polynomial. We have seen the Remainder theorem use the concept of zeroes of a polynomial too. In order to understand their importance, we will look at the geometrical representations of linear and quadratic polynomials and the geometrical meaning of their zeroes
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