Quadratics: Multiplying & factoring
13 videos
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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.
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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.
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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.
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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.
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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.
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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.