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examples of division of monomials

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From Yahoo Answers

Question:How does this change if the divisor is not a monomial?

Answers:Nothing changes just because the divisor has more terms. For instance: The process of 16660 / 98 doesn't change from 16660 / 7.

Question:I just cant get the hang of these. The line underneat means the number is divided by the number under it. 1.Simplify 36x^6y ______ -6x^4y^4 2.Simplify -21x^7 ______ -7x^4 3. Express the number in Scientific Notation 49,000,000 4. Express the number in Scientific Notation 0.00448 5. Express the number in Scientific Notation 240.06 6. Express the number in Scientific Notation 0.00000241 7. 8x^2y^4+10x^2y+2x^2y^2 ________________________ 2xy 8. Simplify (2x^3+2x^2-2x+7) _______________ x+2 9. Simplify 4w^2+4w+3 __________ w-1 10. Write the number in decimal notation 10^-6

Answers:-6x^2/y^3 3x^3 4.9X10^7 4.48X10^-3 2.4X10^2 2.41X10^-6 4xy^3+5x+xy

Question:Demonstrate the process with an example. How does this process change when the divisor is not a monomial? 10 Points ;)

Answers:If you have a linear denominator, the easiest method is to use 'synthetic division',I wont explain it here, it requires quite a bit of explaination: http://en.wikipedia.org/wiki/Synthetic_division apparently it works for any monic term in the denominator. The other more general method is good old long division: it works the same as reegular long division, except instead of working in powers of 10, you work in powers of x http://en.wikipedia.org/wiki/Polynomial_long_division This works for any polynomials

Question:Dont answer if you don't know. Provide examples if possible. Thanxxx!

Answers:Here's an answer I provided a few months ago: The question was "What is (8x^3 - 4x^2 - 7) / (2x+1)"? The technique is the same even if what you're dividing by is a monomial. This is the closest example I could find. ---------------------------------------- Long division of polynomials. Set it up like you would any 'normal' long division problem. .........______________________ 2x+1 ) 8x^3 - 4x^2 - ........... 7 Then ask yourself "What do I need to multiply 2x by to get 8x^3? Answer is 4x^2. So that goes on top and you multiply (2x+1) * 4x^2 and enter that below the 8x^3 - 4x^2 - 7 line and subtract - just like in 'normal' long division. Continue this process until you get an exact division or a remainder. I got (8x^3 - 4x^2 - 7) / (2x +1) = 4x^2 - 4x + 2 - [9/(2x+1)]

From Youtube

Monomials :WEBSITE: www.teachertube.com What is a monomial? Here is a short tutorial with examples.

Polynomial Division: Dividing by a Monomial :This is 1 of 3 videos on Polynomial Division mathispower4u.wordpress.com