World 1-4
Binomial Division
Polynomials
Recall from elementary school… long division.
Answer
35 7
22 7861 Dividend
- 66
Divisor
12 6
110
161
154
7  Remainder
Division can also be done with polynomial expressions
instead of numbers.
x+2
x+2 x2 + 4x + 4
- x2 + 2x
0 2x + 4
- 2x + 4
0
play by play
1. divide x2 by x gives x
2. multiply x by 2 gives 2x
3. subtract and bring down the 4
4. divide 2x by x gives 2
5. multiply 2 by 2 gives 4
6. subtract and get remainder
Check answer
(x+2) (x+2) = x2 + 2x +2x + 4
= x2 + 4x + 4
x+2
x+3 x2 + 5x + 6
- x2 + 3x
0 2x + 6
- 2x + 6
0
play by play
1. divide x2 by x gives x
2. multiply x by 3 gives 3x
3. subtract and bring down the 6
4. divide 2x by x gives 2
5. Multiply 3 by 2 gives 6
6. subtract and get remainder
Check answer
(x+2) (x+3) = x2 + 3x +2x + 6
= x2 + 5x + 6
2x - 4
2x+3 4x2 - 2x - 10
- 4x2 +6x
0 - 8x - 10
- - 8x - 12
2
Check answer
(2x+3) (2x - 4) + 2
= 4x2 - 8x + 6x - 12 + 2
= x2 -2x - 10
Can also be written as
= 2x – 4 +
2
2x+3
x -2
x +2 x2 – 0x - 4
- x2 + 2x
0 - 2x - 4
- - 2x - 4
0
Check
(x+2) (x - 2)
= x2 - 2x + 2x - 4
= x2 - 4
Homework
World 1-4 Binomial Division
Fractions + Exponents Quiz on Monday