6x2-5x-25 = (3x+5)(2x-5) when factored
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x2-14x+24=(x-12)(x-2) Since there are no options listed in this question ;), the answer could be either "x-12" or "x-2". How to factor a trinomial: see link.
X2 + 2X - 35(X - 5)(X + 7)================take your pick of these two binomials
x + 8orx - 4
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. x + 4