Yvette is conducting two experiments. She is choosing two marbles from a bag that contains 1 pink, 4 purple, 3 blue and 2 white
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Every single one of those polynomials factors. When factored, your expression looks like this: 
. When you cancel the like factors out, what you're left with is this: 
. That means that b = 9, c = 1, and d = -2