Which model represents the factors of x2 9x 8? An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled x and 6 are labeled. 4 tiles are in the Factor 2 spot: 1 is labeled x and 3 are labeled. 28 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled x, 9 are labeled , and 9 are labeled negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled x and 4 are labeled. 3 tiles are in the Factor 2 spot: 1 is labeled x and 2 are labeled. 15 tiles are in the Product spot: 1 is labeled x squared, 6 are labeled x, and 8 are labeled. An algebra tile configuration. 6 tiles are in the Factor 1 spot: 1 is labeled x and 5 are labeled. 4 tiles are in the Factor 2 spot: 1 is labeled x and 3 are labeled. 24 tiles are in the Product spot: 1 is labeled x squared, 8 are labeled x, 9 are labeled , and 6 are labeled negative. An algebra tile configuration. 9 tiles are in the Factor 1 spot: 1 is labeled x and 8 are labeled. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled. 18 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled x, and 8 are labeled.

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MrRoyal MrRoyal · Answer 1 · 2022-03-09T09:30:05+01:00

The factors of an expression are the quotients of the expression

The model that represents the factors of [tex]x^2 - 9x + 8[/tex] is the product of x -1 and x - 8

The expression is given as:

[tex]x^2 - 9x + 8[/tex]

Expand the expression

[tex]x^2 - 8x - x + 8[/tex]

Factorize the expression

[tex]x(x - 8) - 1(x - 8)[/tex]

Factor out x - 8

[tex](x - 1)(x - 8)[/tex]

Hence, the model that represents the factors of [tex]x^2 - 9x + 8[/tex] is the product of x -1 and x - 8