Let f(x) = x³ - 2x² - 5x + 6. If x = 1 is a zero of f(x), use the Factor Theorem and synthetic division to express f(x) as the product of three linear factors. Show all work.

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A: Here we have, limx→af(x)=0limx→ag(x)=0limx→ah(x)=1limx→ap(x)=∞limx→aq(x)=∞