5 = 1 x 5, 21 = 3 x 7
3 x 5 = 15, 1 x 7 = 7, 15 - 7 = 8 so:
(5x + 7)(x - 3)
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The GCF is 4.
The GCF is 6
you can factorise 5x2-24x-12 if you use the quadratic formula: This goes to (24(+/-)sqrt(816))/(10) =5.257 or -0.4566 (4s.f.)
5x2 + 9x + 13 has no real factors.
If it does not have a common factor, you cannot factorise it!