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)

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)

which expression represents the approximate length of bc?

step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.