What do you expect the geometrical meaning of the zeroes of a cubic polynomial to be?
Let us find out. Consider the cubic polynomial x - 4x. To see how the graph of y=* 4x
looks like, let us list a few values of y corresponding to a few values for x as shown in Table 3.3.
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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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