What is the completely factored form of the expression 16x2 + 8x + 32?

8 is a common factor for all coeficients so we factor it out first: 8 (2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D = - 31. We see that D < 0 so 8 (2x^2 + x + 4) is the completely factored form.