Polynomials and Factoring notes
16 notes by 14 users
This GoConqr page gathers notes on polynomials and factoring, from zeroes and graphs to the factor and remainder theorems. The collection is mainly for school students practising these topics and teachers looking for ready-made material. There are more than 10 notes to explore. Pick a note to start revising.
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- Polynomial Vocabulary and Classification35
- Operations with Polynomials20
- Special Products and Binomial Expansion14
- Factoring by Common Factors and Grouping17
- Factoring Quadratics and Trinomials50
- Factoring Special Products9
- Polynomial Division6
- Factor and Remainder Theorems11
- Zeros and Roots of Polynomials26
- Polynomial Functions and Graphs18
- Rational Expressions and Algebraic Fractions18
Notes
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Factor, Write & Graph Polynomials
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remainder theorem Remainder Theorem It is little tedious to divide 2 polynomials using the process described in previous section, So we use Remainder theorem. Remainder theorem: Let p(x) be any polynomial of degree greater than or equa...
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Untitled Unit Five Key Concepts - you can find the product of two binomials by multiplying each term In one binomial by each term in the other binomial (FOIL). If necessary, simplify by collecting like terms. -when squaring a ...
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Factor Theorem answer If x+2 is a factor then f(-2) = 0f(-2) = 2(-2)³ - 7(-2)² - 28(-2) - 12 = 2(-8) - 7(4) - 28(-2) - 12 = -16 - 28 + 56 - 12 &...
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zeroes of a polynomial Class 9 Maths PolynomialsZeroes of Polynomial Zeroes of Polynomial Zeroes of a polynomial p(x) is real number ‘a’ for which polynomial p(x) if p(a) = 0. E.g.: For p(x) = x-2 , p(2) = 2-2 =0. &n...
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Unit 2: Quadratic Polynomials The radius, r, of a circle is half the diameter, d, of the circle. If you are given the diameter, first divide by two to find the radius. For success in this unit, remember the following: When you distribute –1 throug...
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Remainder Theorem answer f(4) = 74f(4) = (4)³ + a(4)² - (4) - 2 = 74 64 + 16a - 4 - 2 = 74 &n...
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Chapter 6 product property: add exponent, if same baseproperty of negative exponents: can change any negative exponent into positive by flipping~cannot have negative exponentsdivision property: subtract exponentspower of power ...
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Untitled Simplify: 5x²+8x-3+2x²-7x+13x 7x²+14x-3 Color code: Green: add Red: add Purple: Bring down Blue: add it all together d...
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End behavior links VIDEOS Khan Academy-Intro to end behavior of polynomials How to describe end behavior Using lead coefficient to determine end behavior Describing end behavior using limit notation
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Untitled Key Notes: 1. If f(x) is a polynomial and f(a) = 0 , then (x - a) is a factor of f(x) 2. If f(x) s a polynomial and f(b/a) = 0 ,then (ax - b) id a factor of f(x)
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Partial Fractions
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POLYNOMIALS - created from Mind Map Definition: A polynomial is an algebraic expression containing two or more algebraic terms. Degree of a polynomial Algebraic Identities
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Untitled dPrime Factorization- Use factor treeGCF- Use upside down cake methodFactoring by GCF- find the greatest common factor then divide everything by that
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Untitled POLYNOMIALS Exponents: Terms:Add/Subtract:Distribution[multiplication]:
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POLYNOMIALS - created from Mind Map Relationship-Zeroes and Coefficient of polynomials Degree of polynomials Zeroes of a polynomial graphically
More Polynomials and Factoring resources
About polynomials and factoring notes
GoConqr OriginalWhat the polynomials and factoring notes cover
These user-made notes offer several ways into the unit. You can read about zeroes of a polynomial, the factor and remainder theorems, or partial fractions. Some notes connect zeroes with graphs and coefficients; another gathers links about the end behaviour of polynomial functions.
How to use the notes
For a worked example, start with Remainder Theorem answer. It shows a calculation for finding a coefficient. Then compare it with Factor Theorem answer, which checks whether an expression is a factor before showing a factorisation.
As you read, cover the next line of a calculation and try it yourself. Return to the note when you need to check a step. If you want to test your understanding, switch to a quiz on the unit page; if you want an overview, try a mind map there instead.
Choose a note that matches the topic you are studying and work through it at your own pace.
Frequently asked questions
Which note should I start with?
Start with Remainder Theorem answer if you want to follow a worked calculation. It shows how a value is substituted into a polynomial to find a coefficient. Factor Theorem answer is another worked example, focused on checking a factor and showing a factorisation.
Are these notes free to use?
Yes. Every note listed here is free to open and study without an account. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes. The resources on this page were made by GoConqr users.
What topics do the notes cover?
The notes cover zeroes, graphs, the factor and remainder theorems, and partial fractions. There is also a note with links about the end behaviour of polynomial functions. The collection is mainly suited to school students and can give teachers material to use alongside their teaching.