InterviewSolution
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InterviewSolution
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The graphs of `y=p(x)`are given in Figure below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. |
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Answer» Number of zeros for `p(x)` can be finding the number of times a polynomial touches or cuts x-axis. In fig(i), it does not touch x-axis. So, zeros of polynomial is `0`. In fig(ii), it touches x-axis one time. So, zeros of polynomial is `1`. In fig(iii), it touches x-axis `3` times. So, zeros of polynomial is `3`. In fig(iv), it touches x-axis two times. So, zeros of polynomial is `2`. In fig(v), it touches x-axis four times. So, zeros of polynomial is `4`. In fig(vi), it touches x-axis three times. So, zeros of polynomial is `3`. |
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