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This polynomial factoring guide covers key techniques for factoring different types of polynomials, including difference of squares, trinomials, and grouping methods. It provides step-by-step instructions and examples for each factoring approach.
4/14/2023
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This page provides a comprehensive guide on factoring different types of polynomials, including difference of squares, trinomials, and polynomials with 4 terms. Each factoring method is explained with step-by-step instructions and examples.
The first section covers factoring difference of squares polynomials. These are polynomials in the form a²-b².
Definition: The difference of squares formula is (a+b)(a-b) = a²-b².
To factor, identify the terms that are perfect squares and apply the formula.
Example: x²-64 factors to (x+8)(x-8)
Example: 18m²n-2n³ factors to 2n(3m+n)(3m-n)
The guide then explains how to factor trinomials, both with and without leading coefficients.
For trinomials in the form x²+bx+c:
Example: x²-x-42 factors to (x-7)(x+6)
For trinomials with leading coefficients (ax²+bx+c), the "Slip and Slide" method is introduced.
Example: 30x²-27x+6 factors to 3(10x²-9x+2), which further factors to 3(2x-1)(5x-2)
The final section covers factoring polynomials using grouping method, which is useful for polynomials with 4 terms.
Example: (2a³-a²b)+(10a-5b) factors to (a²+5)(2a-b)
Highlight: Always look for a Greatest Common Factor (GCF) before applying other factoring methods.
This guide provides a comprehensive overview of factoring polynomials, equipping students with the tools to tackle various types of polynomial factoring problems.
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In Education App Charts in 12 Countries
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kara
@kara_mchq
·
1 Follower
Follow
This polynomial factoring guide covers key techniques for factoring different types of polynomials, including difference of squares, trinomials, and grouping methods. It provides step-by-step instructions and examples for each factoring approach.
This page provides a comprehensive guide on factoring different types of polynomials, including difference of squares, trinomials, and polynomials with 4 terms. Each factoring method is explained with step-by-step instructions and examples.
The first section covers factoring difference of squares polynomials. These are polynomials in the form a²-b².
Definition: The difference of squares formula is (a+b)(a-b) = a²-b².
To factor, identify the terms that are perfect squares and apply the formula.
Example: x²-64 factors to (x+8)(x-8)
Example: 18m²n-2n³ factors to 2n(3m+n)(3m-n)
The guide then explains how to factor trinomials, both with and without leading coefficients.
For trinomials in the form x²+bx+c:
Example: x²-x-42 factors to (x-7)(x+6)
For trinomials with leading coefficients (ax²+bx+c), the "Slip and Slide" method is introduced.
Example: 30x²-27x+6 factors to 3(10x²-9x+2), which further factors to 3(2x-1)(5x-2)
The final section covers factoring polynomials using grouping method, which is useful for polynomials with 4 terms.
Example: (2a³-a²b)+(10a-5b) factors to (a²+5)(2a-b)
Highlight: Always look for a Greatest Common Factor (GCF) before applying other factoring methods.
This guide provides a comprehensive overview of factoring polynomials, equipping students with the tools to tackle various types of polynomial factoring problems.
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
