Question

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

Answer 1

Factorizing the quadratic, we have the factors as;

`\begin{gathered} x^2-7x+6 \\ x^2-6x-x+6 \\ x(x-6)-1(x-6) \\ (x-1)(x-6) \end{gathered}`

We could model these factors as being sides of a rectangle, the product of these factors, i.e the quadratic is the area, thus, we have;