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MTH 158

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** Question Form_labelMessages **

Dividing Polynomials

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I understand that when dividing by two polynomials, you take the first variable to the far left and see how many times it will go into the first variable under the division sign.

Eg. a + 1 / a^2 +4

a goes into a^2 once which would eventually give you another a^2 to subtract from the current a^2 before moving on with the problem. Correct?

If so, then how can the problem x^2 - x + 1 / 1 - x^2 + x4

be worked?

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You need to put the dividend (the polynomial being divided) into decreasing order of powers. So instead of

1 - x^2 + x^4

(which is a perfectly valid way to write the polyonomial)

you would write it as

x^2 - x^2 + 1.

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