Posted by weakin on Monday, July 26, 2010 at 6:12am.
1.2X^6  0.018X^5 + 4.2X^2.
6X^2(0.2X^4 0.003X^3 +0.7)
Oops!! I missed a part of the problem
during my 1st response.
(1.2X^6 0.018X^5 +4.2X^2) / 6X^4
Divide each term by 6X^4:
2X^2 0.003X 0.7/X^2.
Remember to subtract the exponents when dividing.
The last term of the answer had a
negative exponent. So it was moved to the
denominator as a positive exponent
(18Y^3 5Y^12 7Y^11)/(3/2)Y.
Arrange exponents in decreasing order:
5Y^12  7Y^
(1.2X^6  0.018X^5 +4.2X^2)/6X^4
Divide each term by 6X^4:
2X^2 + 0.003X  0.7/X^2
(18Y^3  5Y^12  7Y^11)/(3/2)Y.
Arrange exponents in decreasing order:
(5y^12  7y^11 + 18y^3)/(3/2)Y
Divide each term by y:
(5Y^11 7Y^10 + 18Y^2)/(3/2).
Multiply denominator and numerator
by 2/3:
2/3(5Y^11 7Y^^10 + 18Y^2.
Factor out Y^2:
(2/3)Y^2(5Y^9 7Y^8 + 18)

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