Introduction to Rational Algebraic expressions

A rational algebraic expression is a fraction formed by two polynomials, where the denominator polynomial is not equal to zero. It is essentially a ratio of polynomials, similar to how a numerical fraction is a ratio of two numbers. The expression is undefined when the denominator polynomial evaluates to zero, and finding these specific values is known as finding the expression's restrictions.

1. Rational Algebraic Expressions

2. Example: Find the roots of x + = 1 + .  

3. Notice that when the sum and product of two terms are multiplied ( meaning,the first and second term of the factors are the same but they differ with theoperation , one is + while the other is − ), the result will always be the difference ofthe squares of the two terms (that is, you square the first term, square the secondterm and the operation between them is − ). Thus, to factor the difference of twosquares , you just have to reverse the pattern. 𝑎2 − 𝑏2 = (𝑎 + 𝑏)(𝑎 – 𝑏)

4. DIFFERENCE OF TWO SQUARES

5. Ex. 3x 2 +13x - 15

6. Problem Solving involving Factors of Polynomials