7(x2 + 7)
7x2 + 7x - 14 = 7(x2 + x - 2) = 7(x + 2)(x - 1)
The GCF is 7. Divide both terms by 7. 7(x2 - 10)
7(x-5)^2
7x2
7x2 + 68xy - 20y2
Yes, they have the common factor of 7. 14 is 7x2, 35 is 7x5
(7x2 + 9)(4x - 1)
7x2 - 847 [First factor out a 7] 7(x2 - 121) [Now factor it totally] 7(x + 11)(x - 11) x = 11 and -11
If that's 100 + 50x, it factors to 50(2 + x)
You can take 7x2 out of both of those, leaving 5x4 and 1.
I suppose you mean, how do you factor it. 7x2 - 9x - 10 = (7x + 5)(x - 2).