Quadratics and polynomials
14 videos

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Algebra - Quadratics & Polynomials: Why They Matter
Introduction to quadratics and polynomials, explaining their structure, graphing parabolas, and real-world applications like projectile motion and business optimization.

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Algebra - Adding & Subtracting Polynomials
Learn how to add and subtract polynomials by combining like terms. Master the key step of distributing negative signs when subtracting.

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Algebra - Multiplying Monomials by Polynomials
Learn how to multiply a monomial by a polynomial using the distributive property. Multiply coefficients and add exponents for each term.

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Algebra - Multiplying Binomials
Learn how to multiply two binomials using the area model method and understand the pattern for (x+a)(x+b) to get x²+(a+b)x+ab.

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Algebra - Multiplying Binomials: Practice Walkthrough
Learn how to multiply binomials using the distributive method with step-by-step examples, including common mistakes to avoid and tips for combining like terms.

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Algebra - The Difference of Squares Shortcut
Learn the difference of squares shortcut for multiplying binomials like (x+a)(x-a) without FOIL. The middle terms cancel, leaving x² - a².

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Algebra - Squaring a Binomial (Perfect Square Pattern)
Learn why (x+5)² ≠ x²+25 and discover the perfect square pattern with the crucial middle term that students often forget in algebra.

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Algebra - Factoring Out the Greatest Common Factor
Learn how to factor out the greatest common factor (GCF) from algebraic expressions by identifying shared coefficients and variables, then dividing each term.

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Algebra - Factoring Quadratics: x² + bx + c
Learn how to factor quadratic expressions by finding two numbers that add to the middle coefficient and multiply to the constant term, with a step-by-step example.

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Algebra - Factoring Quadratics: Step-by-Step Practice
Learn how to factor quadratic equations step-by-step by finding two numbers that add to the middle coefficient and multiply to the constant term.

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Algebra - Factoring by Grouping (Leading Coefficient ≠ 1)
Learn how to factor quadratic expressions with leading coefficients greater than 1 using the grouping method. Step-by-step example demonstrates the technique.

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Algebra - Factoring Difference of Squares & Perfect Square Trinomials
Learn to factor quadratics instantly using difference of squares and perfect square trinomial patterns. Master quick recognition techniques without guessing or trial and error.

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Algebra - Solving Quadratic Equations by Factoring
Learn how to solve quadratic equations by factoring using the zero product property. Factor the quadratic, set each factor to zero, and solve for x.

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Algebra - Solving Quadratics by Factoring: Full Walkthrough
Learn to solve quadratic equations by factoring, using the zero product property, and checking solutions graphically. Covers simple and complex factoring methods.