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Originally posted by Randerolf
[B]Question 3 – Simplify the following rational expressions by performing the indicated operations. Write answer in lowest terms:
2m² – 5m +12 ÷ 4m² - 9________
m ² - 10m + 24 m ² - 9m +18
Next (2m+?) (m-?) ÷ (2m + 3)(2m-3)
(m-4)(m-6) (m -6)(m-3)
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Remember that if you are dividing by a fraction, you flip the second and multiply.
Just finish your factoring (I wont factor for you).
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Question 4 – Divide:
2x ² - 4x + 5
3x – 2
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Is this supposed to be long division? If so, it's too much for me to type out right now... so take a look at
http://www.sosmath.com/algebra/factor/fac01/fac01.html
All you ever needed to know about polynomial long division, but were afraid to ask.
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Question 5 – Expand:
(4x ³ - 3y²)4
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You can expand this yourself by just thinking of it as (4x^3 - 3y^2)^2 * (4x^3 - 3y^2)^2 (in other words, (4x^3 - 3y^2)^2 times itself). That makes it easier to do by hand if you have to show work. The shortcut method to doing this is called "binomial expansion". By using Pascal's Triangle, you can arrive at your answer a lot faster. See the article at
http://www.geocities.com/thesciencef.../triangle.html for more help.