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Q: How do you factor x2 plus 15x-1?

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x2 + x + 25 can not be factored.

x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)

x2(x3 + 1) is the best you can do there.

Factor x2 plus 12xp plus 36p2 is (x+6p)(x+6p).

That does not factor neatly.

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x2 + 5x - 120 can not be factored.

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x2 + 26x + 48 = (x + 24)(x + 2)

x2 + 7x + 6 = (x + 6) (x + 1)

x2 + 8x + 15 = (x + 3)(x + 5)

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x2 + 6x + 8 = (x + 4)(x + 2)

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x2 + 8x + 15 = (x + 3) (x + 5).

x2 - 13 + 30 = x2 + 17, which has no real factors.

x2 + 13x + 36 = (x + 9)(x + 4)

-x2+7x+18 = (-x-2)(x-9) when factored

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x2 + 18x - 50 does not have rational factors.

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If you mean "factors", the two monomials have the common factor x2. Divide each factor by x2 to get the other factor.

(x2 - x + 1)(x2 + x + 1)