4(x2 + 4)
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It can't be factored because the discriminant is less than zero.
4x2 + 12x + 5 = 4x2 + 2x + 10x + 5 = 2x(2x+1) + 5(2x+1) = (2x+1)(2x+5)
4(x + 2)(x + 2)
4x2 - 6x - 12 = 2 (2x2 - 3x - 6) There are no integer roots, the approximate roots are 2.64 and -1.14
a2+16 cannot be factored. There are no two numbers whose product is 16 and whose sum is 0.