Question

Is it possible to factor `y=x^2 + 3x - 10`? If so, what are the factors?

Answer 1

It is possible to factor it in `RR`, and it's factorized form is `y = (x - (3+sqrt49)/2)(x - (3 - sqrt49)/2)`.

Explanation:

In order to know if there are real roots for this polynomial, you need to calculate `Delta = b^2 - 4ac`. Here, `Delta = 9 - 4*(-10) = 49` so it has two real roots.

They're given by the quadratic formula `(-b+- sqrtDelta)/(2a)`. We apply it to this trinomial and the roots are `(-3 +- sqrt49)/2`