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The graphs of are given in the figure, for some polynomials . Find the number of zeroes of , in each case.
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(i) The graph does not intersect the -axis, so there are no zeros in .
(ii) The graph intersects the -axis at one place, so here there is one zero in .
(iii) The graph intersects the -axis at three places, so that there are three zeros in .
(iv) The graph intersects the -axis at two places, so here there are two zeros in .
(v) The graph intersects the -axis at four places, so there are four zeros in .
(vi) The graph intersects the -axis at three places, so that there are three zeros in .
(ii) The graph intersects the -axis at one place, so here there is one zero in .
(iii) The graph intersects the -axis at three places, so that there are three zeros in .
(iv) The graph intersects the -axis at two places, so here there are two zeros in .
(v) The graph intersects the -axis at four places, so there are four zeros in .
(vi) The graph intersects the -axis at three places, so that there are three zeros in .
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| Question Text | The graphs of are given in the figure, for some polynomials . Find the number of zeroes of , in each case. |
| Answer Type | Text solution:1 |
| Upvotes | 151 |
