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

1 Answer
Mar 5, 2018

Answer:

#(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."#