Homework Log Mon 12/14 Lesson 5 – 1 Learning Objective: To divide polynomials using long division & synthetic division Hw: #501 Pg. 277 1 – 33 odd, skip 23
Homework LogMon
12/14
Lesson 5 – 1
Learning Objective: To divide polynomials using long division & synthetic division
Hw: #501 Pg. 277 1 – 33 odd, skip 23
12/14/15 Lesson 5 – 1 Synthetic Division Day 1
Advanced Math/Trig
Learning Objective To divide polynomials using long division
To divide polynomials using synthetic division
Dividing Polynomials
OR
Long Division: Rewrite in descending order & fill in any missing terms with 0
Dividend = (Divisor)(Quotient) + Remainder
𝐷𝑖𝑣𝑖𝑑𝑒𝑛𝑑𝐷𝑖𝑣𝑖𝑠𝑜𝑟 =𝑄𝑢𝑜𝑡𝑖𝑒𝑛𝑡+ 𝑅𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟
𝐷𝑖𝑣𝑖𝑠𝑜𝑟
1. Divide by Long Division
4 𝑥2−3 𝑥+2 8 𝑥3−18𝑥2+11𝑥−62
8 𝑥3−6 𝑥2
– 6
– 3
+ 4−12 𝑥2 + 7x
–– 6
+ 9x
–– –
– 2x–12
R
–
–
Quotient
Remainder
Descending Order!
(2 𝑥−3 ) (4 𝑥2−3 𝑥+2 ) −2𝑥
2.
Divide using Synthetic Division
=
x = 44𝑥3 𝑥2 𝑥¿2 −13 26 −24
28−5
−206240
𝑥2 𝑥¿ 𝑅
3.
Divide using Synthetic Division
=
x = –2– 2𝑥3 𝑥2 𝑥¿02 −4 12
−81618
−36−408092
𝑥2 𝑥¿ 𝑅
𝑥44
4𝑥3
−8
4. Divide by long division
3x + 1 +0𝑥3
3 𝑥4 +
– 2
– 6 + – 6
–
– 23
–
– –+ 7
+
3 + – – 6 + 0
+ 2
6x + 2– – – 2
–
5.
Divide using Synthetic Division
Need to divide by 3
x = 𝑥3 𝑥2 𝑥¿−5 17 0
−623
−16
−2−2
𝑥2 𝑥¿ 𝑅
𝑥43
3𝑥3
−1
=
6.
Divide & write answer as Dividend = (Divisor)(Quotient) +
Remainder
x = –3
– 3𝑥2 𝑥¿20 −5
−133
−9−14𝑥¿ 𝑅
𝑥31
1𝑥2
−3
Divisor QuotientRemainder
7. is divided by
Find quotient Q(x) & the remainder r when
r = 0
x = –2– 2𝑥2 𝑥¿00 8
−244
−80𝑥¿ 𝑅
𝑥31
1𝑥2
−2
Ticket Out the Door Divide by Long Division Divide by Synthetic Division Do you get the same answer?
Homework#501 Pg. 277 1 – 33 odd, skip
23
2. Divide
5x + 5 10 𝑥6+5 𝑥5+0𝑥4+10𝑥3+0𝑥2−20 𝑥−152
10 𝑥6+10
–
– 5 +0 – 5
–
– 55
–– –
+0 +0
+10
+
5 +5– – 5 + 0
+
5 + 5– – -5 – 20x
–
– 5 – 5– – – 15x – 15
– 3