Question

How do you factor `y^3+y^2+2y+14`?

Answer 1

`(y + 2.47595271)(y^2 - 1.47595271 y + 5.6543891)`

Explanation:

`"There are no rational roots."`
`"There is no easy factorization as such."`
`"The cubic equation has 1 real root that can be factored out."`
`"That root is "y = -2.47595271.`
`"So the factorization is : "`
`(y + 2.47595271)(y^2 - 1.47595271 y + 5.6543891)`
`"This can be found by a general method to solve cubic equa-"`
`"tions like Cardano's method or the substitution of Vieta."`