Usually, you would find two numbers that multiply to 12 (c) and add to make 2 (b).
However, there are not any nice numbers that work, so you must use the quadratic formula.
x = -b ±√b2 - 4ac
___________
2a
where a = 1 b = 2 and c = 12 if the expression is x2 + 2x + 12
The square root in the equation is over b2 - 4ac.
Solve for x, and then put in factored form : (x - root1)(x - root2)
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x2 + 2x - 3 = (x + 3)(x - 1)
x2-2x-15 = (x+3)(x-5) when factored
x2+2x-15 = (x+5)(x-3) when factored
Simplifying x2 + -2x + -63 Reorder the terms: -63 + -2x + x2 Factor a trinomial. (-7 + -1x)(9 + -1x) Final result: (-7 + -1x)(9 + -1x)
X2 + 2X - 35(X - 5)(X + 7)================take your pick of these two binomials