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