Illustrate a rational expression whose numerator is r and the denominator is s.
Given the expressions -1 and b+1. Illustrate a rational algebraic expression whose numerator is -1.
Illustrate a rational algebraic expression whose two polynomials are m-9 and m² - 81 respectively.
Dianne is asked to check if we can replace x by -3 or 6 in the rational algebraic expression x + 3 How does Dianne should do it?
x – 6
Replace x by -3 in the numerator and 6 on the denomintor.
Replace x by -3 and 6 both the numerator and denominator to check.
Number 6 should not be replaced because it will result to zero.
-3 is the only allowed replacement for x.
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Rational Expressions
Rational expressions are fractions that have a polynomial in the numerator, denominator, or both. They contain variables. Can be simplified using the techniques used to simplify expressions. Another technique is by factoring polynomials. Finding values for a variable that will not result in division by zero is called finding the domain.
Answers:
Solutions:
1. To illustrate a rational expression whose numerator is r and denominator is s, draw a fraction bar -----. Above the fraction bar write r: _r_. Below the fraction bar write s: .
2. To illustrate a rational algebraic expression whose numerator is -1, draw a fraction bar --------. Above the fraction bar write -1: _-1_. Then write the other given which is b + 1 as the denominator which should be placed below the fraction bar: .
3. To illustrate a rational algebraic expression whose two polynomials are m - 9 and m² - 81 respectively, place m - 9 over the fraction bar and place m² - 81 below the fraction bar. Thus, .
4. We will check if we can replace x by - 3 or 6 in the rational expression . Thus,
if x is replaced by -3 in the numerator and by 6 in the denominator
= = = 0
if x in the numerator and denominator is replaced by -3
= = = 0
if x in the numerator and denominator is replaced by 6
= = = undefined
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