5x2 – 9x – 2
This is a quadratic trinomial that can be factored as:
(5x + 1)(x - 2)
To check, you can use FOIL (first, outer, inner, last) method:
5x * x = 5x^2
5x * (-2) = -10x
1 * x = x
1 * (-2) = -2
Combine like terms:
5x^2 - 9x - 2
Therefore, (5x + 1)(x - 2) is the correct factored form of 5x2 – 9x – 2.