9 - x2 will factor into (3 - x)(3 + x)
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x2-9x = x(x-9)
To factor any term, divide by the LCF (largest common factor) of the term. For 5x2-45, the LCF is 5. 5x2-45 = 5(x2-9) It can, of course, be factored even further to become: 5(x2-9) = 45(x2/9 - 1) but when factoring, we usually don't need to go past 5(x2-9) (for example, you've figured out that x2 = 9, thus x = +/- 3.)
x2-6x-27 = (x+3)(x-9) when factored
x2 - 14x + 45 = (x - 5)(x - 9).
x2 + 13x + 36 = (x + 9)(x + 4)