1. Rational Expressions rational expression: quotient of two polynomials x2 + 3x - 10 3x + 2 means (x2 + 3x - 10) ÷ (3x + 2) restrictions: *the denominator cannot be 0 (undefined) *restrictions are values the variable cannot be because they would make the denominator zero.

2. Simplifying Algebraic Fractions For what values of the variable is the expression undefined? ( State the restrictions) 1.) 2.) 3.) 3x - 9 2x - 8 3 (x - 1)(x + 3) 4.)

3. Simplifying algebraic fractions is like simplifying a numerical fraction, divide the numerator and denominator by the GCF. An algebraic fraction is in lowest terms when the numerator and denominator have no common factors Simplifying Algebraic fractions 4 8 4(x+2) (x+2)

4. 1.) Factor numerator and denominator 2.) Cancel if possible (only terms, not pieces) 3.) State the restrictions before you simplify Steps:

5. Simplify each fraction. 1.) 2.) 3.) 4.)

6. 6x 3x + 3x2 Simplify each fraction. Find the restrictions. 5.) 6.) 7.) 8.)