What is an example polynomial division problem?
What is the GCF of
The GCF of two positive integers can be found using this method:

Divide the larger number by the smaller to give a quotient and remainder.

If the remainder is
#0# then the smaller number is the GCF. 
Otherwise repeat with the smaller number and remainder.
For example:
#342 / 24 = 13# with remainder#12#
#24 / 12 = 2# with remainder#0#
So the GCF of
We can do the same with polynomials.
For example:
What is the GCF of
Solution
We can divide polynomials by dividing their coefficients, not forgetting to include
In the following long divisions I have premultiplied the dividend in the second division by
So:
#(2x^4+7x+17x^2+16x6)/(x^4+4x^28x+12) = 2" "# with remainder#7x^3+9x^2+32x30#
#(49(x^4+4x^28x+12))/(7x^3+9x^2+32x30) = 7x9" "# with remainder#53x^2+106x+318 = 53(x^2+2x+6)#
#(7x^3+9x^2+32x30)/(x^2+2x+6) = 7x5" "# with remainder#0#
So the GCF is
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An example polynomial division problem is dividing the polynomial 3x^3 + 5x^2  2x + 1 by the polynomial x  2.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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