Dividing Rational Expressions

Question

What are the restricted values in the following division problem? (What are the x-values of all holes and/or asymptotes?) Select all that apply.

1. 3
2. -3
3. 2
4. -5
5. -2
6. 1

Answer 1

So, when you divide fractions, you flip the 2nd and multiply. In both fractions, the denominator can't equal 0.

x2 + 3x - 10 = 0

(x + 5)(x- 2) = 0

x + 5 = 0

x = -5

x - 2 = 0

x = 2

Now, you do the other denominator.