6.7 Dividing Polynomials

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6.7 Dividing Polynomials
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Example Divide (2x2 3x 4) (x 2)
Rewrite in long division form...
2x
7
divisor
Think, how many times does x go into 2x2 ?

• x 2 2x2 3x 4

dividend
2x2 4x
Multiply by the divisor.
7x 4
Subtract.
7x 14
Think, how many times does x go into 7x ?
10
remainder
Write the quotient like this...
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Example Divide (p3 6) (p 1)
p2
p
1

• p 1 p3 0p2 0p 6

p3 p2
We need to add place-holders for missing terms!
p2 0p
p2 p
p 6
p 1
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