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Either graph the polynomial on graph paper manually or on a graphing calculator. If it is a "y=" polynomial, then the zeroes are the points or point where the polynomial touches the x-axis. If it is an "x=" polynomial, then the zeroes are the points or point where the polynomial touches the y-axis. If it touches neither, then it has no zeroes.
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If you put this equation in y-intercept form it is y=4/3x+20 If you have a graphing calculator just enter this in "y=" or graph it manually to find the x-intercept.
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