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A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 15 tiles are in the Product spot in 3 columns with 5 rows: 1 is labeled x squared, 2 are labeled x, the 4 tiles below x squared are labeled negative x, and the 8 tiles below the x tiles are labeled negative. Which polynomial was factored? x2 – 2x – 8 x2 2x – 8 x2 – 2x – 4 x2 2x – 4.

Sagot :

Polynomials consist of both indeterminates and coefficients. The polynomial that was factored in is x² - 2x - 8.

What are polynomials?

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

1 is labeled x squared,

2 are labeled x,

4 tiles below x squared are labeled negative x,

8 tiles below the x tiles are labeled negative.

As we know that algebra tiles are the tiles that represent variables or coefficients. Also, the shape of the tiles can be rectangle or square.

These tiles can be represented as,

1 is labeled x squared, = x²

2 are labeled x,  = 2x

4 tiles below x squared are labeled negative x = -4x

8 tiles below the x tiles are labeled negative = -8

Sum all the terms we will get,

x² + 2x - 4x - 8

x² - 2x - 8

Hence, the polynomial that was factored in is x² - 2x - 8.

Learn more about Polynomials:

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