Divide the first term of the numerator by the first term of the denominator.
(15x^2) / (3x) = 5x
Multiply the entire denominator by the result from step 1 and subtract it from the numerator.
(5x)(3x + 2) = 15x^2 + 10x
(15x^2 - 11x - 14) - (15x^2 + 10x) = -21x - 14
(-21x) / (3x) = -7
(-7)(3x + 2) = -21x - 14
The resulting expression is:
5x - 7
Therefore, (15x^2 - 11x - 14) / (3x + 2) simplifies to 5x - 7.
