IXL - Factor quadratics using algebra tiles (Algebra 1 practice)

Which area model represents the factorization

(

)

(

)

x2	x2	x	x
x	x	1	1

x2	x	x
x	1	1
x	1	1

x2	x2	x	x
x	x	1	1
x	x	1	1

x2	x	x
x	1	1

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question

Which area model represents the factorization

(

)

(

)

x2	x2	x
x2	x2	x
x2	x2	x
x	x	1

x2	x
x2	x
x2	x
x	1
x	1

x2	x2	x2	x
x2	x2	x2	x
x2	x2	x2	x
x	x	x	1

x2	x2	x
x2	x2	x
x	x	1

solution

This area model represents the factorization

(

)

(

)

x2	x2	x
x2	x2	x
x2	x2	x
x	x	1

The left side of the equation represents the total area written as the sum of all the tiles. There are 6

tiles, 5

tiles, and 1

tile, so the sum is

The right side of the equation represents the total area written as base times height. The base is made up of 2

tiles and 1

tile, so it is

(

)

The height is made up of 3

tiles and 1

tile, so it is

(

)

The base times the height is

(

)

(

)

The other area models represent factorizations of different polynomials.

This area model shows

(

)

(

)

x2	x
x2	x
x2	x
x	1
x	1

This area model shows

(

)

(

)

x2	x2	x2	x
x2	x2	x2	x
x2	x2	x2	x
x	x	x	1

This area model shows

(

)

(

)

x2	x2	x
x2	x2	x
x	x	1

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W.7Multiply two binomials using algebra tiles

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