Lesson #4 Binomial Division
Polynomials
22 78613
66-126
5
110161
7
1547
Dividend
Remainder
Answer
Divisor
Recall from elementary school… long division.
-
-
2. multiply x by 2 gives 2x
Division can also be done with polynomial expressions instead of numbers.
x2 + 4x + 4x+2
play by play1. divide x2 by x gives x
x
x2 + 2x3. subtract and bring down the 40 2x + 44. divide 2x by x gives 2
+ 2
2x5. multiply 2 by 2 gives 4
+ 4
6. subtract and get remainder0
Check answer(x+2) (x+2) = x2 + 2x +2x + 4
= x2 + 4x + 4
eg. 1
-
-
2. multiply x by 3 gives 3xx2 + 5x + 6x+3
play by play1. divide x2 by x gives x
x
x2 + 3x3. subtract and bring down the 60 2x + 64. divide 2x by x gives 2
+ 2
2x5. Multiply 3 by 2 gives 6
+ 6
6. subtract and get remainder
0
Check answer(x+2) (x+3) = x2 + 3x +2x + 6
= x2 + 5x + 6
eg. 2
-
-
4x2 - 2x - 102x+32x
4x2 +6x0 - 8x - 10
- 4
- 8x - 12 2
eg. 3
Check answer(2x+3)(2x - 4) + 2
= 4x2
= x2 -2x - 10- 8x + 6x - 12 + 2
eg. 4
-
-
x2 – 0x - 4x +2 x
x2 + 2x0 - 2x - 4
- 2
- 2x - 4 0
Check(x+2)(x - 2) = x2 - 2x + 2x - 4= x2 - 4
Can also be written as = 2x – 4 + 2 2x+3
Homework
Binomial Division HandoutQuiz Polynomials Tomorrow