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Warm up 9/28

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Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda: Warmup Notes 6.3 Go over ch 3 test if time

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Notebook Table of content Page 1 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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4B) Polynomial long division 3 3 -36 1 7 Divisor Dividend Quotient Remainder

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6 A) Polynomial long division (–x 2 + 2x 3 + 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. (15x 2 + 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 3 -6 Step 4 :Write the quotient.

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6B) Synthetic division (–x 2 + 2x 3 + 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 (2x 3 –x 2 + 25) ÷ (x – 3) 21 -63 Step 4 :Write the quotient.

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7) Synthetic division You Try(6x 2 – 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

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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?

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