Question

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

Answer 1

He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

Answer 2

Explanation:

Since Brent uses a rectangle that models the area = (x² - 7x + 6)

Now we will factorize this expression

x² - 7x + 6 = x² - 6x - x + 6

= x(x - 6) - 1(x - 6)

= (x - 1)(x - 6)

Therefore, (x -1) and (x - 6) will represent the sides of a rectangle so that multiplication of the sides will model the area of the rectangle.