Warm up 9/28

Be seated before the bell rings

DESK

homeworkWarm-up (in your notes)

Agenda:

WarmupNotes 6.3

Go over ch 3 test if time

NotebookTable of content

Page1

1

13) 5.9 complex numbers

14) Solve linear systems

15) System of linear inequalities

16) Linear Programing

17) Linear Equation in 3 dimensions

18) Solve linear systems in 3 variables

19)Add, subtract, multiply polynomials

20) Dividing Polynomials

6.3 Dividing Polynomials

HW

p.426(13,15,17,18 odd, 19-23 odd

39-47 odd)

6.3 Dividing Polynomials

Divisor

Dividend

Quotient

6.3 Dividing Polynomials

22 7 7 2x x x

4B) Polynomial long division

12 277

3

3

-36

1

7

Divisor

Dividend

Quotient

Remainder

22 7 7 2x x x

22 2 7 7x x x 2x

22x 4x

3x 7

3

3x 6

1

123

12 1

2 32

xx

6 A) Polynomial long division (–x2 + 2x3 + 25) ÷ (x – 3)

Steps:

1) Write dividend in standard form, Including the 0 terms

2) See what you must multiply the front term of the divisor by to get to the front term in the dividend, write on top

3) Multiple/Subtract

4) Repeat until we can’t go anymore

5) Write reminder as a fraction over the divisor.

7) Polynomial long division

Steps:1) Write dividend in standard form,

Including the 0 terms

2) See what you must multiply the front term of the divisor by to get to the front term in the dividend, write on top

3) Multiple/Subtract

4) Repeat until we can’t go anymore

5) Write reminder as a fraction over the divisor.

(15x2 + 8x – 12) ÷ (3x + 1) You Try

= 5x + 1 – 13

3x + 1

4C) Synthetic division Can only be used if the divisor is in (x-a) form and the dividend must be in standard form.

Step 1: Find a.

Step 2 :Write the coefficients and a in the synthetic division format.

a = -2

–2 2 7 7

Step 3 :Bring down the first coefficient. Then multiply and add.

–4

2 -13

-6

Step 4 :Write the quotient.

22 7 7 2x x x

12 3

2x

x

6B) Synthetic division (–x2 + 2x3 + 25) ÷ (x – 3)

Can only be used if the divisor is in (x-a) form and the dividend must be in standard form.

Step 1: Find a.

Step 2 :Write the coefficients and a in the synthetic division format.

a = 3

–3 2 -1 0 25

Step 3 :Bring down the first coefficient. Then multiply and add.

–6

2 -38–7

21

(2x3 –x2 + 25) ÷ (x – 3)

21

-63

Step 4 :Write the quotient.

22 7 21x x 383x

7) Synthetic division You Try (6x2 – 5x – 6) ÷ (x + 3)

Step 1 Find a.

Step 2 Write the coefficients and a in the synthetic division format.

Step 4 Write the quotient.

a = 3

–3 6 -5 -6

–18

6 –23

69

63

6 21x 633x

Summary: 1)The three ways to divide polynomials are……

2) Which method do you prefer, why?

3) When do you use long division over synthetic?