x2 - x + 30 does not have any factors.
If on the other hand you wanted to factor out:
x2 - x - 30
Then it can be done as follows:
= x2 - 6x + 5x - 30
= x(x - 6) + 5(x - 6)
= (x + 5)(x - 6)
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5(x + 3)(x + 1)
5x squared plus 33x plus 18 = (5x + 3)(x + 6) x = -6, -3/5
I'm presuming its factors for a monic quadratic trinomial--of form : X squared + BX + C . You need the numbers that MULTIPLY to give C and ADD up to give B Eg X squared + 8X + 12 factors to ( X+2) (X + 6 ) BUT X squared + 7X + 12 factors to (X +3 )(X + 4) Hope this helps. Phil.
4
(x - 5)(x - 3)