Q4 of 64 Page 38

From the figure 2.10 find the number of zeros of y = p(x).

(i) (ii)


(iii) (iv)


(v) (vi)


Figure 2.10

(i) The graph of y = p(x) intersects X-axis at one point. So, the number of real zeros of p(x) is one.


(ii) The graph of y = p(x) does not intersect X-axis at any point. So, p(x) has no real zeros.


(iii) The graph of y = p(x) intersects X-axis at three points. So, the number of real zeros of p(x) is three.


(iv) The graph of y = p(x) intersects X-axis at two points. So, the number of real zeros of p(x) is two.


(v) The graph of y = p(x) intersects X-axis at four points. So, the number of real zeros of p(x) is four.


(vi) The graph of y = p(x) intersects X-axis at three points. So, the number of real zeros of p(x) is three.


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