Polynomial Long Division ÷ Polynomial Polynomial Long Long
DivisionDivision
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It’s just Division!• The polynomial we divide with is called
The Dividend• The polynomial we divide by is called
The Divisor• The answer is called
The Quotient
Let’s start
Let’s divide x2 + 4x + 4 by x + 2 :
x2 + 4x + 4
x + 2
Use the Long division
How to fill in as to start?
First, write the dividend inside.
Next, write the divisor outside.
Then, divide and the Quotient will be up.
Divisor Dividend
Quotient
Now Divide ...
x2 + 4x + 4x + 2
You divide the first monomial from the Dividend by the first monomial from the Divisor. You write the answer in the Quotient’s place.
x2 ÷ x = x
x
Multiply the answer x by the Divisor
x
x2 + 4x + 4x + 2
x2 + 2xWrite the
answer under the dividend
and subtract it from the dividend.
0 + 2x + 4
Not finished, continue the Division
x2 + 4x + 4x + 2
x
x2 + 2x
2x + 4Repeat the
same steps…
Divide 2x by x
+ 2
2x ÷ x = 2
Finish it!
x2 + 4x + 4x + 2-x2 - 2x
2x + 4
x + 2
Multiply 2 by the divisor.
2x + 4
0Subtract
and answer.
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