ANSWERS: 3

No. That's it.

Yes, if you are allowed to use complex numbers. It would be (a+bi)(abi). This is easy to verify, just remember that i*i=1. With complex numbers, any polynomial can be reduced to a product of first degree polynomials. Not so if you are allowed to use real numbers only.

9112017 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: en.wikipedia.org/wiki/Polynomial_remainder_theorem The given equation is an example of "difference of squares" and the factor is then (a + bi)(a  bi).
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