The only way to factor that expression is by using imaginary numbers:
(x + 12i)(x - 12i)
You can test that answer by multiplying the terms back together:
= x2 - 12ix + 12ix - (12i)2
= x2 - (122 × i2)
= x2 - (144 × -1)
= x2 + 144
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Start with the prime factorization, 2 x 2 x 2 x 2 x 3 x 3. All of the other factors are in there. Start with 1.
Also...
2
3
4 (2 x 2)
6 (2 x 3)
8 (2 x 2 x 2)
9 (3 x 3)
12 (2 x 2 x 3
Dividing those numbers into 144 gives you the rest.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
3x
x2-3x+2.25 is the same as 4x2-12x+9 and is (2x-3)(2x-3) when factored
Since 3x is a factor of 3x^2, it is automatically the GCF.
If that's -5, the answer is (x - 1)(3x + 5) If that's +5, it gets ugly in a hurry.
(3x - 4)(2x^2 + 6x + 5)