Question

Question #15ac4

Answer 1

In the Real Field it is not possible.
If you want, but I don't think it is your case, could be factorized in the Complex Field.

A polinomial of 2° degree could be factorize only if the associate equation of 2°degree (i.e. `2x^2+8x+9=0`) has the `Delta` positive or zero.

I remember that the equation of 2° degree could be written:

`ax^2+bx+c=0` and the `Delta` is `Delta=b^2-4ac`.

So:

if `Delta=0` than the polynomial is a binomial square, it is sufficient to find the double solution of the equation, `x_1`, and then:

`ax^2+bx+c=a(x-x_1)^2`.

if `Delta=0` than the polynomial could be factorized if the two solutions, `x_1,x_2`, are found, and then:

`ax^2+bx+c=a(x-x_1)(x-x_2)`, don't forget the `a`.