Question

PLEASE HURRYYYYYY 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. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled + x squared, 1 is labeled + x, the 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x + 3) (x + 1) and (x − 3) (x − 2) and (x + 3) (x + 2) and (x − 3)

Answer 1

Solution :-

1) Tiles are in the Product spot in 2 columns with 4 rows :

Column (1) Column (2)

Row 1)

Row 2)

Row 3)

Row 4)

2) 1 is labeled + x squared, 1 is labeled + x,

Column (1) Column (2)

Row 1) x² x

Row 2)

Row 3)

Row 4)

3) The 3 tiles below + x squared are labeled negative x, and the 3 tiles below the + x tile are labeled negative.

Column (1) Column (2)

Row 1) x² x

Row 2) -x -1

Row 3) -x -1

Row 4) -x -1

adding all now, we get,

→ x² + x + 3(-x) + 3(-1)

→ x² + x - 3x - 3

→ x² - 2x - 3

→ x² + x - 3x - 3

→ x(x + 1) - 3(x + 1)

→ (x + 1)(x - 3) (Ans.)

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