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2 ROOTS If we move the cubic curve up/down, then at certain positions, one of the turning points just touches the x-axis, and we then have just 2 roots: in truth, 2 roots have "become the same" ie looking at the algebra, we will have duplicated roots. EXAMPLE the cubic , when factorised gives y=4(x+1)(x+1)(x). In other words, it has 2 roots, at x=0 and x=-1, but still the "2 humped" shape, as

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