To determine one of the factors of the quadratic expression [tex]\(4x^2 + 5x - 6\)[/tex], follow these steps:
1. Understand the Original Expression: The given expression is [tex]\(4x^2 + 5x - 6\)[/tex], a quadratic polynomial.
2. Factoring the Polynomial: To factor this quadratic expression, we search for two binomials [tex]\((ax + b)(cx + d)\)[/tex] such that their product equals the original quadratic polynomial. By solving these binomials, we determine that one of the factors is [tex]\((4x - 3)\)[/tex].
Thus, one of the factors of [tex]\(4x^2 + 5x - 6\)[/tex] is:
[tex]\[
4x - 3
\][/tex]
