0
Can you divide out common terms that are added or subtracted in numerator and denominator of a rational expression?
No. Terms that are added in numerators and denominators CANNOT be divided out.
Only terms that are multiplied can be divided out.
For example:
(2x-3)/(41x-11)
Nothing can be divided out.
(4x-8)/(30x-10) -> factor out a 2 -> 2(2x-4)/2(15x-5)
Divide out the 2 because it is being multiplied so the fraction reads:
(2x-4)/(15x-5)
What else can I help you with?
Can a rational function have an absolute value in the denominator?
yes
When subtracting rational expressions with a common denominator always remember to the negative sign?
Distribute
What can you say about the prime factorization of the denominator of the rational number 34 5478?
If that's 34/5478, I can say the prime factorization of the denominator is 2 x 3 x 11 x 83
Why would you want to factor each expression before multiplying or dividing 2 rational expressions?
In both cases, you may be able to cancel common factors, thus simplifying the expression.
What is the rationalisation factor of 500⅓?
The number in the question is rational. It is not at clear how a rational number can be rationalised!
What fraction having rational expression in its numerator or denominator or both?
If you divide a rational expression by another rational expression, you will again get a rational expression.
An expression which contains polynomials in both the numerator and denominator?
rational expression
What is an expression which contains polynomials in both the numerator and denominator?
rational expression
When can you simplify a fraction or a rational algebraic expression?
When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.
How do you write a rational number as a decimal?
You divide the numerator of the rational expression by its denominator.
The first step in reducing a rational expression is to both the numerator and denominator?
factor
When is a rational expression Simplified?
When the only common factor between numerator and denominator is 1.
The first step in reducing a rational expression is to do what to both the numerator and denominator?
To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor
What are some Rational expression examples?
Just write ANY fraction, with a polynomial in the numerator, and a polynomial in the denominator.
What is true about both the numerator and denominator of rational expressions?
Both the numerator and denominator are polynomials
What is the greatest common factor GCF of the numerator and denominator of the rational expression below?
You didn't include the expression below. Without that that, we'd only be guessing.
When is a rational expression written in its simplest form?
When the numerator and denominator are coprime - ie have no factor in common other than 1.
