\( 3 x^{2}+25 x-18 \) Which of the following is a factor of the polynomial above?

To find a factor of the polynomial \( 3x^{2} + 25x - 18 \), we can look for possible rational roots using the Rational Root Theorem. By checking values such as \( x = 1 \), \( x = -1 \), and others, we can determine if they satisfy the polynomial equation. Through trial and error, we can identify factors that can simplify the polynomial effectively. Another method involves applying the quadratic formula \( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a} \), where \( a = 3 \), \( b = 25 \), and \( c = -18 \). By calculating the discriminant \( b^2 - 4ac \), we can find the roots of the polynomial, thus allowing us to factor it completely in the form \( (3x + m)(x + n) \) for suitable \( m \) and \( n \).