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Warm up 9/28

Warm up 9/28. Be seated before the bell rings. Agenda: Warmup Notes 6.3 Go over ch 3 test if time. DESK. Warm-up (in your notes). homework. Notebook. 1. Table of content. 6.3 Dividing Polynomials. Page. 13) 5.9 complex numbers 14) Solve linear systems

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Warm up 9/28

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  1. Warm up 9/28

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

  3. Notebook 1 Table of content 6.3 Dividing Polynomials Page 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 1 HW p.426(13,15,17,18 odd, 19-23 odd 39-47 odd)

  4. 6.3 Dividing Polynomials

  5. Dividend Quotient Divisor

  6. 6.3 Dividing Polynomials

  7. 4B) Polynomial long division Divisor 3 Quotient Dividend 7 3 -36 1 Remainder

  8. 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.

  9. 13 = 5x + 1 – 3x + 1 7) Polynomial long division (15x2 + 8x– 12) ÷ (3x + 1) You Try 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.

  10. 2 7 7 –2 4C) Synthetic division Can only be used if the divisor is in (x-a) form and the dividend must be in standard form. a = -2 Step 1: Find a. Step 2 :Write the coefficients and a in the synthetic division format. -6 –4 Step 3 :Bring down the first coefficient. Then multiply and add. -1 3 2 Step 4 :Write the quotient.

  11. 2 -1 0 25 –3 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. (2x3–x2 + 25) ÷ (x – 3) a = 3 Step 1: Find a. Step 2 :Write the coefficients and a in the synthetic division format. 21 –6 -63 Step 3 :Bring down the first coefficient. Then multiply and add. -38 –7 21 2 Step 4 :Write the quotient.

  12. 6 -5 -6 –3 7) Synthetic division You Try (6x2 – 5x – 6) ÷ (x + 3) a = 3 Step 1 Find a. Step 2 Write the coefficients and a in the synthetic division format. 69 –18 –23 63 6 Step 4 Write the quotient.

  13. Summary: • 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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