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Polynomials : Exercise - 2.1 (Mathematics NCERT Class 10th)


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Q.1     The graphs of y = p(x) are given in figures below for some polynomials p(x). Find the number of zeroes of p(x) , in each case.
            (i)   1
          (ii)  2
         (iii) 3
         (iv) 4
        (v)
5
 
         (vi)   6

Sol.
        (i) There are no zeroes as the graph does not intersect the x-axis.
        (ii) The number of zeroes is one as the graph intersects the x-axis at one point only.
        (iii) The number of zeroes is three as the graph intersects the x-axis at three points.
        (iv) The number of zeroes is two as the graph intersects the x-axis at two points.
        (v) The number of zeroes is four as the graph intersects the x-axis at four points.
        (vi) The number of zeroes is three as the graph intersects the x-axis at three points.