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Quadratics: Multiplying & factoring

13 videos

Know Multiplying & Factoring Quadratics: What You Need to Know thumbnail
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Algebra 1 - Multiplying & Factoring Quadratics: What You Need to Know

Introduction to multiplying and factoring binomials, explaining how they are inverse operations used to work with quadratic expressions and solve real-world problems.

Know How to Multiply Two Binomials thumbnail
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Algebra 1 - How to Multiply Two Binomials

Learn how to multiply two binomials step-by-step by distributing each term and combining like terms to form a trinomial in standard form.

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Algebra 1 - Multiplying Binomials: Practice Problem

Learn to multiply binomials using distribution. Shows step-by-step how to multiply (3x+2)(5x-7) and combine like terms to get the final answer.

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Algebra 1 - The Difference of Squares Pattern

Learn the difference of squares pattern: (a+b)(a-b) = a²-b². A quick shortcut for multiplying binomials without distributing, with examples and proof.

Know Squaring a Binomial: The Perfect Square Pattern thumbnail
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Algebra 1 - Squaring a Binomial: The Perfect Square Pattern

Learn why (x+5)² ≠ x²+25 and master the perfect square binomial formula with the crucial middle term 2ab that students often forget.

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Algebra 1 - Factoring Out the Greatest Common Factor (GCF)

Learn how to factor out the Greatest Common Factor (GCF) from algebraic expressions using a step-by-step example with 6x² + 15x.

Know Factoring x² + bx + c into Two Binomials thumbnail
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Algebra 1 - Factoring x² + bx + c into Two Binomials

Learn how to factor trinomials by finding two numbers that add to the middle coefficient and multiply to the constant term, with step-by-step examples.

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Algebra 1 - Factoring x² + bx + c: Practice Problem

Learn to factor quadratic expressions step-by-step, including finding number pairs and extracting the greatest common factor before factoring trinomials.

Know Factoring by Grouping (When the Leading Coefficient Isn't 1) thumbnail
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Algebra 1 - Factoring by Grouping (When the Leading Coefficient Isn't 1)

Learn how to factor quadratic expressions with leading coefficients greater than 1 using the factoring by grouping method with a step-by-step example.

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Algebra 1 - Factoring by Grouping: Practice Problem

Learn how to factor complex quadratics using grouping method. Covers finding GCF first, splitting middle terms, and factoring by grouping with step-by-step examples.

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Algebra 1 - Factoring a Difference of Squares

Learn the difference of squares formula: a²-b² factors into (a+b)(a-b). Master this shortcut to instantly factor expressions like x²-49.

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Algebra 1 - Factoring Perfect Square Trinomials

Learn to identify and factor perfect square trinomials using the patterns (a+b)² and (a-b)², with step-by-step examples and quick verification checks.

Know Factoring Strategy: How to Choose the Right Method thumbnail
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Algebra 1 - Factoring Strategy: How to Choose the Right Method

Learn a simple 3-step framework for choosing the right factoring method for quadratics: check GCF, count terms, then examine the leading coefficient.