Question

Show all work in simplifying (3x2+3x-36)/x^2-x-6 (Be sure to list restrictions) plz help.

Answer 1

Please clarify: the first part of the question: (3x3...... do you mean a multiplication sign?

Answer 2

no I mean a variable

Answer 3

would u like me to draw it out.

Answer 4

excellent. just a sec..

Answer 5

(3x2+3x-36)/(x^2-x-6)
So lets first work with the numerator:
6x+3x-36=9x-36
Lets factor it to get: 9(x-4)
Denominator now. That quadratic (x^2-x-6) factors into: (x-3)(x+2)
Combine the numerator and denominator: 9(x-4)/(x-3)(x+2)
No further simplification can be done. As you can see, restrictions are: x=3 and x=-2
because for those values of x, the denominator will become 0, and division by zero is undefined.

Answer 6

Thank you so much! :)

Answer 7

You're welcome :)