Warm up 9/28

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

Notebook Table of content Page ) 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, odd odd)

6.3 Dividing Polynomials

Divisor Dividend Quotient

6.3 Dividing Polynomials

4B) Polynomial long division Divisor Dividend Quotient Remainder

6 A) Polynomial long division (–x 2 + 2x ) ÷ (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. (15x 2 + 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 – Step 3 :Bring down the first coefficient. Then multiply and add. – Step 4 :Write the quotient.

6B) Synthetic division (–x 2 + 2x ) ÷ (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 – Step 3 :Bring down the first coefficient. Then multiply and add. – –7 21 (2x 3 –x ) ÷ (x – 3) Step 4 :Write the quotient.

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 – –18 6 –

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?