Topic: polynomial long division. Lecture: lesson 4.3 Date: Fri, oct 7 Class: Algebra 2 the monday Include this doesnt the process Important IS very 19=19호 8156 -8 76 72 4 2) how many can 8 go times into 1? -no times Can one time 2) how many 8 ti mes go into 15? -write above 5 3) write 8.1 under 15 4) subtract 15-8 5) bring down the 6 6) how many times does 8 go Into 76 -9 times 7) 9.8:72 8) 76-72-4 9) put the remainder over the valve you're dividing by 4 8 8 10) simplify = 11) = 192 Topic: polynomial long division Date: Fri, oct 7 Lecture: lesson 4.3 Class: Algebra 2 More examples: 209 122508 -24↓↓ 108 108 - 209.12=2508 these are factors of 2,508. x12x2 2x²=2x X = 2x Vocab: quotient 2. Quotient, Dividend, and Divisor 19.5 8156, divisor dividend Topic: polynomial long division Lecture: lesson 4.3 Date: Fri, oct 7 Class: Algebra 2 If 18:3 15 then... 3/18 a. x ^ 2 + 3x - 18 divided by x - 3 x - 3sqrt(x ^ 2 + 3x - 18) x - 3sqrt(x ^ 2 + 3x - 18) what xatto multiply x by to X - x! x - 3sqrt(x ^ 2 + 3x - 18) - x ^ 2 + 3x if the 1st pos. doesn't elim, it's wrong X x - 3sqrt(x ^ 2 + 3x - 18) - x ^ 2 + 3x ↓ 6x-18 x + 6 x - 3sqrt(x ^ 2 + 3x - 18) - x ^ 2 + 3x ↓ 6x - 18 trying to make - 6x + 18 6x - 18 Is the Divisor a Factor of the Dividend? yes! it is (x - 3)(x + 6) you get the original question Topic: polynomial long division Date: Fri, oct 7 Lecture: lesson 4.3 Class: Algebra 2 example w/a remainder x ^ 2 + 3x - 12 divided by x - 3 x - 3sqrt(x ^ 2 + 3x - 12) It has 2 terms, so can't go into one term x - 3 * (x + 6)/(x ^ 2 + 3x - 12) - x ^ 2 + 3x ↓ 6x - 12 (- 6x + 18)/6 x + 6 + 6/(x - 3) why it changes signs when u subtract (3x ^ 2 + 8) - (2x ^ 2 - 9) the negative distributes! ← when there's a remainder, they're not factors! remainder divisor must seperate remainder with a plus sign you cannot reduce any more because you can't X by three Topic: polynomial long division Lecture: lesson 4.3 Date: Fri, oct 7 Class: Algebra 2 x - sqrt(2x ^ 2 + 3x - 5) 2x ^ 2 + 2x how to make x = 5x +5 5x - 5 x - 1 Is a factor (2x+5)(x-1) = original question answer 2x+5 w/ a cubiC H's a cubic! x + 4 x + 4 x ^ 3 + 3x ^ 2 - 6x - 7 Start above 2nd term x + 4 x ^ 3 + 3x ^ 2 - 6x - 7 X ^ 2 * X = X ^ 3 x ^ 2 - x x + 4sqrt(x ^ 3 + 3x ^ 2 - 6x - 7) - x ^ 3 + 4x ^ 2 - x ^ 2 - 6x 1x ^ 2 + 4x - 2x - 7 2x + 8 remainder = | not a factor writing remainder the right way X ^ 2 - X - 2 + 1/(X + 4) the plus IS Important

Algebra 2 Lesson 4.3 Polynomial Long Division

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