How do you factor 2x^2-10x-42?

1 Answer
Oct 11, 2015

Factor f(x) = 2x^2 - 10x - 42

Explanation:

f(x) = 2y = 2(x^2 - 5x - 21).
The trinomial y = x^2 - 5x - 21 can't be factored because its determinant D = b^2 - 4ac = 25 + 84 = 109 is not a perfect square.
Therefor: f(x) = 2(x^2 - 5x - 21).