Rational Expressions & Equations

What is a Rational Expression It is a Monomial which is a number or letter(variable) or combination. 3x 15a 2 b 8a 2 b 2x 5 /3y u 34 OR IT’S A POLYNOMIAL QUOTIENT

Reduce With Caution

Think of a Factor Tree

What is a Simplifying

Simplifying Rational Expressions FACTOR FIRST

Simplifying Rational Expressions The Key is to: FACTOR & REDUCE

FACTOR

REDUCE Normally x can be any real # but since you can’t divide by 0 x can be any real # except 0. For x=0 this algebraic expression is UNDEFINED.

FACTOR

REDUCE

Simplify Simplifying Polynomials

Simplify Simplifying Polynomials 1.Factor numerator & denom.

Simplify Simplifying Polynomials 1.Factor numerator & denom. 2.Reduce

Simplify Simplifying Polynomials 1.Factor numerator & denom. 2.Reduce 3.Name undefined values (Where denominator is 0)

FACTOR FIRST

NOW REDUCE For y=1 this algebraic expression is UNDEFINED.

Now Try These FACTOR & REDUCE

Answers Are there any values which are UNDEFINED?

Undefined When is 2x+1=0? When x=-1/2 When is 4x+3=0? When x=-3/4

Can You Reduce This?

Factor Out a Neg. 1

New Try These