Draw the different types of graphs and show the number of zeroes also give the explanation.
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If we graph this polynomial as y = p(x), then you can see that these are the values of x where y = 0. In other words, they are the x-intercepts of the graph. The zeros of a polynomial can be found by finding where the graph of the polynomial crosses or touches the x-axis.
A double zero results from a function having a repeated root, for example: roots derived from factors of the form (x-a)^2. ... At the point of the root, the graph doesn't cross the x axis (because a quadratic function governs that portion of the graph) but instead bounces back from the x axis.
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