Multiplying Polynomials (FOIL)

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What is the FOIL method in multiplying binomials?

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FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials by multiplying the first terms, outside terms, inside terms, and last terms, then combining like terms.

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CCSS.HSA.APR.A.1

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Multiply: (x + 3)(x + 7)

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CCSS.HSA.APR.A.1

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Multiply: (x + 3)(x + 5)

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CCSS.HSA.APR.A.1

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Multiply: (x + 5)(x + 4)

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CCSS.HSA.APR.A.1

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Multiply: (x + 7)(x + 9)

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CCSS.HSA.APR.A.1

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Multiply: (x - 9)(x - 7)

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CCSS.HSA.APR.A.1

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What does it mean to combine like terms in polynomial multiplication?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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CCSS.HSA.APR.A.1

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

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What is a polynomial?

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A polynomial is an expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression.