Math  /  Algebra

Questionc. Kelly wants to find a shortcut to factor 2x2+7x+62 x^{2}+7 x+6. She knows that 2x22 x^{2} and 6 go into the rectangle in the locations shown at right. She also remembers Casey's pattern for diagonals. Without actually factoring yet, what do you know about the missing two parts of the generic rectangle? product sum e. Use your results from the Diamond Problem to complete the generic rectangle for 2x2+7x+62 x^{2}+7 x+6, and then write the area as a product of factors.

Studdy Solution
The factored form of 2x2+7x+62x^2 + 7x + 6 is (2x+3)(x+2)(2x + 3)(x + 2).

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