Multiplying Polynomials Using Algebra Tiles

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Multiplying Polynomials

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Presentation transcript:

Multiplying Polynomials Using Algebra Tiles SOL A.2b

REVIEW Represent Polynomials Using Algebra Tiles Represent x2 + 3 2) Represent x2 + 4x – 2

REVIEW Represent Polynomials Using Algebra Tiles 3) Represent 3x2 – x 4) Represent 2x2 + x - 3

Multiplying Polynomials Using Algebra Tiles 1) Multiply x(x + 3) using Algebra tiles Measure side lengths of (x) and (x + 3) since x and x + 3 are the two factors Length of x Length of x Length of 3

Multiplying Polynomials Using Algebra Tiles 1) Multiply x(x + 3) using Algebra tiles 2) Draw lines to complete the rectangle and each part in the rectangle. x x + 3

Multiplying Polynomials Using Algebra Tiles 1) Multiply x(x + 3) using Algebra tiles 3) Fill in the spaces with the correct Algebra tiles. x x + 3 Therefore, x(x + 3) = x2 + 3x

Multiplying Polynomials Use the distributive property to check your answer. x(x + 3) = x2 + 3x

Multiplying Binomials Using Algebra Tiles 2) Multiply (x + 2)(x + 4) using Algebra tiles Measure side lengths of (x + 2) and (x + 4) since x + 2 and x + 4 are the two factors Length of x + 4 Length of x + 2

Multiplying Polynomials Using Algebra Tiles 2) Multiply (x + 2)(x + 4) using Algebra tiles 2) Draw lines to complete the rectangle and each part in the rectangle. x + 4 x + 2

Multiplying Polynomials Using Algebra Tiles 2) Multiply (x + 2)(x + 4) using Algebra tiles 3) Fill in the spaces with the correct Algebra tiles. x + 4 x + 2 Therefore, (x + 2)(x + 4) = x2 + 6x + 8

Multiplying Binomials Using Algebra Tiles 3) Multiply (2x + 1)(x + 2) using Algebra tiles Measure side lengths of (2x + 1) and (x + 2) since 2x + 1 and x + 2 are the two factors Length of 2x + 1 Length of x + 2

Multiplying Polynomials Using Algebra Tiles 2) Multiply (2x + 1)(x + 2) using Algebra tiles 2) Draw lines to complete the rectangle and each part in the rectangle. 2x + 1 x + 2

Multiplying Polynomials Using Algebra Tiles 2) Multiply (2x + 1)(x + 2) using Algebra tiles 3) Fill in the spaces with the correct Algebra tiles. 2x + 1 x + 2 Therefore, (2x + 1)(x + 2) = 2x2 + 5x + 2

Multiplying Binomials 4) Multiply (x + 2)(x + 3) using Algebra Tiles x + 2 Mark the correct length on the sides x + 3 Fill in the rectangle with the correct Algebra tiles. Draw lines to complete the rectangle. Therefore, (x + 2)(x + 3) = x2 + 5x + 6