How do you factor #3x^2–11x–4#?
To factor this quadratic, you need a generic rectangle and a diamond problem
First, we need to find the sum and product of the diamond problem. To find the product, multiply
We can now insert our terms into the generic rectangle. The first term of the quadratic goes on the bottom left square and the last term goes to the top right square. The two terms from the diamond problem will go in the other two squares. The numbers on the bottom side of the generic rectangle will multiply by the numbers on the left side. Therefore, the factored form of this quadratic is
Now that we know what the factored form of this quadratic is, we can check our answer