Erin is using this area model to factor 6x^2−7x−20 . She puts two terms in the upper left and lower right boxes.
The product of the two terms shown in the area model is
The sum of the missing two terms in the area model must be
The missing two terms she is looking for are
The expression factors to
6x^2 - 7x - 20 = (2x - 5)(3x + 4)
The product of the two terms shown in the area model is 2x * 3x = 6x^2
The sum of the missing two terms in the area model must be -5x + 4x = -x
The missing two terms she is looking for are -5x and 4x
are you sure
I apologize for the mistake in my previous response. Let's correct the solution:
The product of the two terms shown in the area model is 2x * 3x = 6x^2
The sum of the missing two terms in the area model must be -5x - 4x = -9x
The missing two terms she is looking for are -5x and -4x
Therefore, the correct factorization is 6x^2 - 7x - 20 = (2x - 5)(3x + 4)