-9(x + 8)
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I hope you mean x3+2x2-9x+18. Treat the equation like two equations: x3+2x2 and 9x+18. Factor out x2 from the first equation, so x2(x+2). Factor out 9 from the second equation, so 9(x+2). Now, the whole equation. x2(x+2)-9(x+2). Factor out (x+2), so (x+2)(x2-9). (x2-9) factors into (x+3)(x-3). So, (x+2)(x+3)(x-3) is the complete factorization. Hope this helps.
7
5x2 + 9x + 13 has no real factors.
That doesn't factor neatly. Applying the quadratic equation, we find two real solutions: (31 plus or minus the square root of 401) divided by 20x = 2.5512492197250394x = 0.5487507802749606
3x + 1)(3x - 4)