the model represents a polynomial of the form ax² + bx + c. which equation is represented by the model? o…

Answer:

C. $3x^{2}-4x + 1=(3x - 1)(x - 1)$

Explanation:

Step1: Count $x^{2}$ - terms

There are 3 positive $x^{2}$ - tiles, so the coefficient of $x^{2}$ is 3.

Step2: Count $x$ - terms

There are 3 positive $x$ - tiles and 7 negative $x$ - tiles. $3x-7x=-4x$, so the coefficient of $x$ is - 4.

Step3: Count constant - terms

There is 1 positive unit tile and 0 negative unit tiles, so the constant term is 1. The polynomial is $3x^{2}-4x + 1$.

Step4: Expand the right - hand side of each option

For option C, use FOIL method: $(3x - 1)(x - 1)=3x\times x-3x\times1-1\times x + 1\times1=3x^{2}-3x-x + 1=3x^{2}-4x + 1$.