Question

The partial factorization of x2 – x – 12 is modeled with algebra tiles. An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled x, 3 are labeled. 1 tile is in the Factor 2 spot and is labeled x. 20 tiles are in the Product spot: 1 is labeled x squared, 3 are labeled x, the 4 tiles below x squared are labeled negative x, and the 12 tiles below the x tiles are labeled negative. Which unit tiles are needed to complete the factorization? 3 negative unit tiles 3 positive unit tiles 4 negative unit tiles 4 positive unit tiles.

Answer 1

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The partial factorization of x² – x – 12 is modeled with polynomial tiles.

The factorization will be

x² – x – 12

x² – 4x +3x – 12

(x – 4)(x + 3)

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

More about the polynomial link is given below.

brainly.com/question/17822016