Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,

Presentation on theme: "Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,"— Presentation transcript:

Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section, we will use the factoring methods to simplify rational expressions.

Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section, we will use the factoring methods to simplify rational expressions. A rational expression is simply a fraction that has polynomial expressions contained in the numerator and denominator…and the denominator can not equal zero

Simplify Rational Algebraic Expressions

I started you off with a simple one to get us started…

Simplify Rational Algebraic Expressions STEP #1 : FACTOR all expressions completely

Simplify Rational Algebraic Expressions

STEP #1 : FACTOR all expressions completely STEP # 2 : Look for COMMON FACTORS to “cancel”

Simplify Rational Algebraic Expressions

WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!! You CAN NOT start by dividing individual terms to simplify…

Simplify Rational Algebraic Expressions WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!!

Simplify Rational Algebraic Expressions WARNING !!! So as a general rule, if you see + / - signs separating terms, you must factor to get common terms to simplify. You can only cancel multiplied terms.

Simplify Rational Algebraic Expressions

STEP #1 : FACTOR all expressions completely

Simplify Rational Algebraic Expressions STEP #1 : FACTOR all expressions completely Factors of 4 that add/subtract = - 3 are - 4 and + 1

Simplify Rational Algebraic Expressions STEP #1 : FACTOR all expressions completely Factors of 4 that add/subtract = - 3 are - 4 and + 1 Factors of 4 that add/subtract = - 5 are - 4 and - 1

Simplify Rational Algebraic Expressions STEP #1 : FACTOR all expressions completely Factors of 4 that add/subtract = - 3 are - 4 and + 1 Factors of 4 that add/subtract = - 5 are - 4 and - 1 STEP # 2 : Look for COMMON FACTORS to “cancel”

Simplify Rational Algebraic Expressions

STEP #1 : FACTOR all expressions completely

Simplify Rational Algebraic Expressions

STEP #1 : FACTOR all expressions completely STEP # 2 : Look for COMMON TERMS to “cancel”

Download ppt "Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,"

Similar presentations