When factoring a polynomial in the form ax? + bx-c, where a, b, and c are positive real numbers, should the signs in the binomials be both positive, negative, or one of each? Create an example to verify your claim.

1. Write the original polynomial in standard form: ax^2 + bx - c
2. To factor into binomials, the product of the constants in the binomials must equal \( -c \) (a positive times a negative gives a negative product): (x - p)(ax + q)
3. Ensure the sum of the resulting middle terms from binomials is \( bx \).

Example:
Consider the polynomial: 2x^2 + 3x - 2

1. Write in standard form: 2x^2 + 3x - 2
2. Look for factors of \(-2\) that combine to give \(3\):
(2x - 1)(x + 2)

Expanding the binomials to verify:
(2x - 1)(x + 2) = 2x^2 + 4x - x - 2 = 2x^2 + 3x - 2

So it matches the original polynomial. The signs are one positive and one negative.