Question 1. Let P(x) = ax²+bx+c with a 0. The polynomial P(x) is factorable in real numbers if we can find real numbers m, n, k and I so that P(x) = (mx + n)(kx+l). a) Show that P(x) is factorable iff (if and only if) 6² 4ac ≥ 0. b) Show that 3x² - 5x + 10 is not factorable in real numbers.

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