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2 positive unit tiles are needed to complete the factorization.
Given
The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.
<h3>Partial factorization;</h3>Partial fractions are the fractions used for the decomposition of a rational expression.
When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.
In the second line, we can see that first term 1 is labeled + x squared, second is labeled +<u> </u><u>2x</u><u> (two positive </u><u>tiles </u><u>above),</u> then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).
Therefore,
The factorization is;
Hence, 2 positive unit tiles are needed to complete the factorization.
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Attached a solution and showed work.
