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 sum of the missing two terms in the area model must be
Answer Choices: (-7x, -20, 6x^2)
The missing two terms she is looking for are
(-13x, 7x. -15x, 8x. -6x, -x)
The expression factors to
Answer Choices:
(x - 4) (6x + 5)
(3x + 4) (2x - 5)
(3x - 4) (2x + 5)
(x + 4) (6x - 5)
To find the missing two terms in the area model, we need to look for two numbers that multiply to -20 and add up to -7 (the coefficient of the middle term). The two numbers that fit this criteria are -5 and 4. Therefore, the missing two terms are -5x and 4x.
The correct factorization of the expression 6x^2−7x−20 is (3x - 4)(2x + 5).