Polynomial arithmetic
9 videos
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Algebra 2 - Polynomial Arithmetic: What You Need to Know
Learn polynomial operations: adding, subtracting, and multiplying polynomials using the same arithmetic rules as regular numbers but applied to expressions with variables.
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Algebra 2 - Polynomial Vocabulary: Terms, Degree, and Standard Form
Learn polynomial vocabulary: terms, coefficients, degree, leading term, and standard form. Understand monomials, binomials, and trinomials with clear examples.
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Algebra 2 - Adding and Subtracting Polynomials
Learn how to add and subtract polynomials by combining like terms. Master the key rule: distribute the negative sign when subtracting before combining terms.
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Algebra 2 - Subtracting Polynomials: Step-by-Step Practice
Learn how to subtract polynomials correctly by distributing the negative sign to flip every term inside the parentheses, then combine like terms to simplify.
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Algebra 2 - Average Rate of Change of Polynomials
Learn how to calculate average rate of change using the slope formula between two points on a function, with a step-by-step example using f(x) = x³ - 3x.
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Algebra 2 - Multiplying Monomials
Learn how to multiply monomials by multiplying coefficients and adding exponents. Includes step-by-step examples and the key rule for combining powers of the same base.
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Algebra 2 - Multiplying a Monomial by a Polynomial
Learn to multiply monomials by polynomials using the distributive property. Multiply coefficients and add exponents for each term.
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Algebra 2 - Multiplying Binomials by Polynomials
Learn how to multiply a binomial by a trinomial using distribution. Step-by-step example shows multiplying (2x+5) by (x²-3x+4) and combining like terms.
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Algebra 2 - Difference of Squares: The Shortcut You Need
Learn the difference of squares shortcut for multiplying binomials: (a+b)(a-b) = a²-b². Skip FOIL and solve instantly with this pattern!