simplify and Identify the non permissible vaules
3x^2-7x-6 / 6x^2+4x
To simplify the expression, we can factor the numerator and denominator.
3x^2 - 7x - 6 can be factored as (3x + 2)(x - 3).
6x^2 + 4x can be factored as 2x(3x + 2).
So the simplified expression is ((3x + 2)(x - 3))/(2x(3x + 2)).
Identifying the non-permissible values means finding the values of x that would make the denominator equal to zero. In this case, the non-permissible value is x = -2/3, since it would make the denominator (2x(3x + 2)) equal to zero, resulting in division by zero which is not allowed in mathematics.