Algebra 2 Factoring Trinomial

Question

What are the factors that multiply -15 but, add to 2?

Answer 1

xy=-15

x+y=2

Produces a quadratic with factors (x-5)(x+3).

Answer 2

(x+5)(x-3)

(5)(-3)=-15

5-3=2

Answer 3

xy = -15, y = -15 / x

x + y = 2

x + (-15 / x) = 2

x² - 15 = 2x

x² - 2x - 15 = 0

Can you factor and answer?