ANSWERS: 1

A big part of math is pattern recognition. A lot of homework is just fighting with stuff so you will remember the pattern when you see it again. The most common pattern is (x + a) * (x + b) = x^2 + (a + b)x + ab and the special case (x + a) * (x  a) = x^2  a^2. When you spot the pattern you can just write the answer from memory. Now study this page until it seems obvious: https://en.wikipedia.org/wiki/Polynomial_remainder_theorem First, we use Shift6 for powers, like this: 2x^2  6x  8. Now rewrite that as 2(x^2  3x  4). You are looking for A and B that multiply to give 4 and add to give 1 so you let A = 4 and b = +1. 2(x  4)(x + 1)
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