Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
