Factorize: 3{x}^(2) + x + 15 = 0 ​

Question

Factorize:

`3{x}^(2) + x + 15 = 0`
​

Answer 1

This is prime. (No factors),

Explanation:

3x^2 + x + 15.√

This is not possible

Find complex roots using the formula

x = [-1 +/- √1^2 - 4*3*5)] / 6

x = -1/6 +/- √-179) / 6

x = -1 +/- i√179/ 6

So we can write the factors as:

(x - (-1 - i√179/ 6)(x - (-1 + i√179/ 6)

= (x + 1 + i(√179/ 6)) (x + 1 - i(√179/ 6))

Maybe that is what they want.