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OleMash [197]
3 years ago
6

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

Mathematics
2 answers:
Crank3 years ago
6 0
<span> 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.</span>
ivann1987 [24]3 years ago
6 0

Answer:

Step-by-step 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.

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