Multiplying Polynomials (Box Method)

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What is the Box Method for multiplying polynomials?

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The Box Method is a visual way to multiply polynomials by creating a grid (or box) where each term of the first polynomial is placed along one side and each term of the second polynomial along the other. The products of the terms are filled in the boxes, and then combined to form the final polynomial.

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CCSS.HSA.APR.A.1

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What are like terms in polynomials?

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CCSS.6.EE.A.2B

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How do you expand the expression (x + 3)(x + 6)?

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CCSS.HSA.APR.A.1

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What is the result of multiplying the binomials (2x + 1)(x - 3) using the Box Method?

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CCSS.HSA.APR.A.1

Front

What is the expanded form of the expression (x^2)(x^3)?

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CCSS.HSA.APR.A.1

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What is the first step in the Box Method for multiplying polynomials?

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The first step is to create a box or grid where you label the rows and columns with the terms of the polynomials being multiplied.

Tags

CCSS.HSA.APR.A.1

Front

How do you combine like terms after using the Box Method?

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After filling in the boxes with products, combine the terms that are like terms by adding their coefficients.

Tags

CCSS.HSA.APR.A.1

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What is the significance of the coefficients in polynomial multiplication?

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Coefficients are the numerical factors in front of the variables. When multiplying polynomials, you multiply the coefficients of like terms together.

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CCSS.HSA.APR.A.1

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

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What is the degree of a polynomial?

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