Question

Pig wants to find a shortcut to factor 2x^(2)+7x+6. She knows that 2x^(2) and 6 go into the rectangle in the locations shown at right, She also remembers Arden's pattern for diagonals. Without actually factoring yet, what do you know about the missing two parts of the generi rectangle?

Answer 1

To find the missing parts of the generic rectangle for the quadratic expression 2x^2 + 7x + 6, we use the given information of 2x^2 and 6 and the knowledge of factoring quadratic expressions. The missing parts are x + 2 and x + 3, resulting in the factored form of (2x + 3)(x + 2).

Step-by-step explanation:

The missing two parts of the generic rectangle represent the factors of the quadratic expression 2x^2 + 7x + 6. Based on the given information, we know that 2x^2 and 6 go into the rectangle in the shown locations. The missing parts would be the remaining factors, which are x + 2 and x + 3. Therefore, the complete factored form of the quadratic expression is (2x + 3)(x + 2).