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Algebra Tiles for Polynomial Factors

Algebra tiles can be used to represent the multiplication of polynomials by creating groups or a rectangle which has the given dimensions. The resulting area can be found by grouping like terms.

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117 views2 pages

Algebra Tiles for Polynomial Factors

Algebra tiles can be used to represent the multiplication of polynomials by creating groups or a rectangle which has the given dimensions. The resulting area can be found by grouping like terms.

Uploaded by

api-170539530
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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Common Factors of a Polynomial Algebra tiles can be used to represent the multiplication of polynomials by creating groups or a rectangle which

has the given dimensions. The resulting area can be found by grouping like terms. To model 3 (2x + 1) you can show 3 groups of (2x + 1) or a larger rectangle that has dimensions 3 by (2x + 1).

It is not always possible to show groups of a polynomial. For example, when given 2x (2x + 1) you cannot show 2x groups of (2x + 1). But you can still use Algebra tiles to show a larger rectangle that has dimensions 2x by (2x + 1).

Model the following. 3x ( 2x + 3) x (2x + 1)

When beginning with the polynomial you can form a rectangle and determine its dimensions. These dimensions are also known as factors. Determine the dimensions of three rectangles that have an area of 4x + 12.

Model the dimensions of each of the following. 6x + 9 4x2 + 6x

Symbolically, you can factor by removing the greatest common factor. Factor each of the following. 6x2 + 4x 12 8x2 12x 24

2x2 + 6x + 4

6x3 + 4x2 12x

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