Download in
Google Play
factoring and dividing with polynomials
24
Share
Save
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
( finol study guide 1. factoring: → always factor out the gef first, if there is one a. difference of squares: a²_b² → (a+b) (a-b) La FACTORING DIVISION ↳ works for any even power, but if the degree is 4th or nigner, may have to → (x²-1) + (x² + 1)(x² - 1) b. sum or difference of cubes: 1. a³ + b³ → (a+b) (a²- ab + b²) 2. 9³-b³(a−b) (a² + ab + b ²). works for any odd power abotve 3. c. factoring quadratics: ax² + bx + c →→ a(x-p) (x-a) ↳find two factors of are that add to b factor multiple times. → (x² +1) (x + 1) (X−1) •ex: x² + 8x + 12 = 6·2= 12, 6+2=8 →x² + 6x + 2x + 12 → ×(x+6) + 2(x+6) → [(x+2) (x+6)] d. factor by grouping: often used with multiple variables →what divides into the first two terms and into the last two terms so that the polynomials in the parentheses are the same? e. other factoring: binomial and trinomial ex: x² - y² + 4x + 4y + (x+y) (x−y) + 4 (X+Y) →→ (x+y) (x−y + 4) 2. polynomial long division: → don't forget placeholders if any degrees are missing! -x-3 (-x-1) -2 1. divide first terms, multiply, subtract, and repeat 2. write remainder as fraction * example: x+1) ²x² + x - 3 - (²x² + 2x) over...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
original denominator 1- 2x² / x = 2x, 2x(x + 1) = 2x² + 2x, subtract. 2. -x/x = -1, -1(x+1) = (-x-1), subtract 2x-1-2 2x²+x-3 X+1 3. synthetic division: 1. write coefficients of polynomial 2. use the root of the factor as the divisor 3. bring down first coefficient 4. multiply coefficient by divisor and add to the next coefficient. REPEAT ☆ use zero placeholder for missing degree xfl 2x4-7x³-7x +1 / (x-4) 4 2-70-71 ↓ +8 +4 +16 +36 21 4 9 37 XR 42x² + x² + 4x + 9 + 37 X-4
factoring and dividing with polynomials
24
Share
Save
Comments (1)
different types of factoring, polynomial long division, and synthetic division
different types of factoring, polynomial long division, and synthetic division
Similar Content
94
Midterm Study Guide: Review of the First Half of the Course
Simple review notes and examples for the first half of the algebra 2 course! Not all classes teach the content in the same order, but this study guide should have most of the more basic concepts from algebra 2!
104
Algebra 2 Midterm Notes
Notes for Algebra 2 Midterm Exam
141
Rational Expressions and Function notes
Different ways to solve rational expressions and functions
0
Factoring Polynomial Equations - Flashcards
0
Understanding Polynomials: Degrees, Coefficients, and Roots - Flashcards
158
math 3 final exam study guide
covers all content learned in tj math 3 (algebra 2)
( finol study guide 1. factoring: → always factor out the gef first, if there is one a. difference of squares: a²_b² → (a+b) (a-b) La FACTORING DIVISION ↳ works for any even power, but if the degree is 4th or nigner, may have to → (x²-1) + (x² + 1)(x² - 1) b. sum or difference of cubes: 1. a³ + b³ → (a+b) (a²- ab + b²) 2. 9³-b³(a−b) (a² + ab + b ²). works for any odd power abotve 3. c. factoring quadratics: ax² + bx + c →→ a(x-p) (x-a) ↳find two factors of are that add to b factor multiple times. → (x² +1) (x + 1) (X−1) •ex: x² + 8x + 12 = 6·2= 12, 6+2=8 →x² + 6x + 2x + 12 → ×(x+6) + 2(x+6) → [(x+2) (x+6)] d. factor by grouping: often used with multiple variables →what divides into the first two terms and into the last two terms so that the polynomials in the parentheses are the same? e. other factoring: binomial and trinomial ex: x² - y² + 4x + 4y + (x+y) (x−y) + 4 (X+Y) →→ (x+y) (x−y + 4) 2. polynomial long division: → don't forget placeholders if any degrees are missing! -x-3 (-x-1) -2 1. divide first terms, multiply, subtract, and repeat 2. write remainder as fraction * example: x+1) ²x² + x - 3 - (²x² + 2x) over...
( finol study guide 1. factoring: → always factor out the gef first, if there is one a. difference of squares: a²_b² → (a+b) (a-b) La FACTORING DIVISION ↳ works for any even power, but if the degree is 4th or nigner, may have to → (x²-1) + (x² + 1)(x² - 1) b. sum or difference of cubes: 1. a³ + b³ → (a+b) (a²- ab + b²) 2. 9³-b³(a−b) (a² + ab + b ²). works for any odd power abotve 3. c. factoring quadratics: ax² + bx + c →→ a(x-p) (x-a) ↳find two factors of are that add to b factor multiple times. → (x² +1) (x + 1) (X−1) •ex: x² + 8x + 12 = 6·2= 12, 6+2=8 →x² + 6x + 2x + 12 → ×(x+6) + 2(x+6) → [(x+2) (x+6)] d. factor by grouping: often used with multiple variables →what divides into the first two terms and into the last two terms so that the polynomials in the parentheses are the same? e. other factoring: binomial and trinomial ex: x² - y² + 4x + 4y + (x+y) (x−y) + 4 (X+Y) →→ (x+y) (x−y + 4) 2. polynomial long division: → don't forget placeholders if any degrees are missing! -x-3 (-x-1) -2 1. divide first terms, multiply, subtract, and repeat 2. write remainder as fraction * example: x+1) ²x² + x - 3 - (²x² + 2x) over...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
original denominator 1- 2x² / x = 2x, 2x(x + 1) = 2x² + 2x, subtract. 2. -x/x = -1, -1(x+1) = (-x-1), subtract 2x-1-2 2x²+x-3 X+1 3. synthetic division: 1. write coefficients of polynomial 2. use the root of the factor as the divisor 3. bring down first coefficient 4. multiply coefficient by divisor and add to the next coefficient. REPEAT ☆ use zero placeholder for missing degree xfl 2x4-7x³-7x +1 / (x-4) 4 2-70-71 ↓ +8 +4 +16 +36 21 4 9 37 XR 42x² + x² + 4x + 9 + 37 X-4