MATH - Rational Expressions

HELP PLEASE! I am taking my college placement test tomorrow and am working on the sample test now. I need help with this question about Rational Expressions...

For all r (<INSERT>is not equal to sign)+ or - 2

r(squared) - 5r+6
(All Over)
r(squared)- 4

I know the answer is r-3/r+2, but I do not know the steps to use to get the answer.

First let me rewrite that in a way I recognize

r^2 - 5r + 6
r^2 -4

Both the numerator and denominator can be factored to give

The r-2 terms can be cancelled to give

The bit about r not being allowed to be = or -2 is because that would put a zero in the denominator, making the fraction be "indeterminate" or without meaning. For any other r, (r-3)/(r+2) is the answer.

Thank you for your help it is greatly appreciated :)


The Square root of 98?

need more help. need to see more problams about rationals.

need more help. need to see more problams about rationals.

--- --
bc ac

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. chemistry

    what is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6cm3? what volume would be occupied by 7.75g of this same substance? PLEASE help need the answer tonight i have a test tomorrow i kind of not

  2. math

    need to make a venn diagram using 3 circles. A survey on subject being taken by 250 students at a certain college revealed the following info: 1. 90 were taking math 2. 145 were taking history 3. 88 were taking english 4. 25 were

  3. Math

    The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Assume that the population standard deviation on each part of the test is = 100. a. What is

  4. School

    What is the best description of an advanced placement course? A. a rigorous version of a regular subject B. a course that is consistent with college/university courses and prepares a student to take AP exams in a particular

  1. Probability and Statistics

    The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in the sample is anywhere

  2. Statistics Math

    1. What type of car is more popular among college students, American or foreign? One hundred fifty-nine college students were randomly sampled and each was asked which type of car he or she prefers. A computer package was used to

  3. Help with Psychology Homework

    Your professor asks you to take a personality test. After taking the test, you read your description of your personality type, and are disappointed that the results do not seem to capture your personality at all. In fact, you

  4. math

    A magazine claims that 25% of its readers are college students. Of a random sample of 200 readers, 42 are college students. Use a .10 level of significance to test Ho: p =.25 and H1: p ≠ .25 Show the hypothesis test procedure.

  1. statistics

    Select the TWO options that are TRUE statements about two-sample t-tests. Select one or more: The same formula is used for the ESE (estimated standard error) in the two-sample t-test with a common variance and the two-sample

  2. Math (Calculus AB)

    For x≠0, the slope of the tangent to y=xcosx equals zero whenever: (a) tanx=-x (b) tanx=1/x (c) sinx=x (d) cosx=x Please help. I have a final tomorrow and I am working diligently to understand every type of problem that may show

  3. AP BIO

    a student wished to test a sample of organic material to determine whether it was sugar, a dat, or starch. If she could perform only one of the following, which would be the most revealing? 1- test for the presence of carbon and

  4. Math

    The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 620 and a standard deviation of 220. If a college requires a student to be

You can view more similar questions or ask a new question.