how do i factor this equation out

first simplify: **4x^2 - 15x + 19**

Since this doesn't look to be easily factored, we should use the quadratic equation:

**(-b +or- sqrt(b^2 - 2ac))/2a**

a, b, c are the coefficients in front of each "chunk" of this equation.

**a = 4, b = -15, c = 19** (now plug into formula)

(-(-15) +or- sqrt((-15)^2 - 4*4*19))/2*4 (simplify)

(15 +or- sqrt(225 - 304))/8

(15 +or- sqrt(-79)/8 (OOPS!!!!! there is a problem here. can't have a negative square root. either double check that the question is copied down properly, or we can continue to factor imaginary numbers.)

15/8 +or- 8.89(i)/8

***answer: 1.875 +or- 1.112(i)**