Factor the expression: 2x2 − 5x − 3


A.
(2x − 3)(x + 1)
B.
(2x + 3)(x − 1)
C.
(2x − 1)(x + 3)
D.
(2x + 1)(x − 3)

Respuesta :

Please use " ^ " to denote exponentiation:  2x^2 − 5x − 3

Rather than try to factor this from scratch, test the given factors in the possible answers.  Looking at the fourth possible answer (D), we see that two criteria are satisfied:  (1) the product of +1 and -3 is -3, which equals the third term of the given polynomial, and (2) +1x - 6x = -5x, which equals the second term.  Thus,

2x^2 − 5x − 3 =  (2x + 1)(x − 3)

The answer is “D” .. hope I helped you ❤️