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Warm up 9/28
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Be seated before the bell rings
DESK
homeworkWarm-up (in your notes)
Agenda:
WarmupNotes 6.3
Go over ch 3 test if time
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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)
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6.3 Dividing Polynomials
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Divisor
Dividend
Quotient
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6.3 Dividing Polynomials
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22 7 7 2x x x
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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
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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.
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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
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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
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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
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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
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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?