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Original problem: x^2-x-20x2-25/x2-16x^2-x-30
Revised: [(x2 - x - 20)(x2 - 25)] / [(x2 - 16)(x2 - x - 30)]
Solution:
Factor the polynomials:
{[(x - 5)(x + 4)][(x + 5)(x - 5)]} / {[(x +4)(x - 4)][(x - 6)(x + 5)]}
Cancel common factors:
[(x - 5)(x - 5)] / [(x - 4)(x - 6)] ---> Simplest form (or final answer)
(Optional) Expand:
(x2 - 10x + 25) / (x2 - 10x + 24)
Add your answer:
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If the equation of a rational function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
Is there a difference between rational expressions and rational equations?
Yes. An equation has an "=" sign.
After multiplying or dividing two rational expressions it is sometimes possible to the resulting expression?
After multiplying or dividing two rational expressions it is sometimes possible to simplify the resulting expression.
Difference between rational numbers and rational expressions?
A Rational number is a fraction of two integers; a rational expression is a fraction that contains at least one variable
What are the characteristic of rational algebraic expressions?
They do not contain an equality symbol.
What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
Simplifying trig expressions?
Yes!!! What do you want to know about simplifying trig. expressions.
How can mathematical expressions be solved efficiently?
By simplifying them.
If the equation of a function is a rational expressions the function is rational?
Yes. Rational functions must contain rational expressions in order to be rational.
Simplifying rational expressions 6x-5y plus -3x-4y?
(6x - 5y) + (-3x - 4y) =6x - 5y - 3x - 4y =3x - 9y =3 (x - 3y)
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.
How do you know if you will subtract or add in simplifying algebraic expressions?
Only like terms can be subtracted or added in algebraic expressions.
What is subtraction of rational expressions?
another rational expression.
Equations that contain rational expressions?
a rational function.
What is simplifying expressions of 6a b a 17 4b 32 17a?
65
How do you write mixed expressions as rational expressions?
8+3/n
Why is factoring an important skill when simplifying complex rational expressions?
rational expresions are the equivalent of fractions. factoring both the numerator and the denominator lets you see and cancel like terms as long as nothing in the problem creates a division by zero error. this is true for real terms as well imaginary terms.
