SOLUTION: Which function is equivalent to f(x) = 6x^2 - 13x + 5? A. f(x) = (3x - 1)(2x + 5) B. f(x) = (3x - 5)(2x - 1) C. f(x)= (3x - 1) (2x - 5) D. f(x) = (3x - 5)(2x + 1)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Which function is equivalent to f(x) = 6x^2 - 13x + 5? A. f(x) = (3x - 1)(2x + 5) B. f(x) = (3x - 5)(2x - 1) C. f(x)= (3x - 1) (2x - 5) D. f(x) = (3x - 5)(2x + 1)      Log On


   

Question 1206980: Which function is equivalent to f(x) = 6x^2 - 13x + 5?
A. f(x) = (3x - 1)(2x + 5)
B. f(x) = (3x - 5)(2x - 1)
C. f(x)= (3x - 1) (2x - 5)
D. f(x) = (3x - 5)(2x + 1)
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe selection B.
(3x-5) * (2x-1) = 0
multiply out the factors and you get:
(3x - 5) * (2x - 1) which is equal to:
3x * (2x - 1) - 5 * (2x - 1) which is equal to:
6x^2 - 3x - 10x + 5 which is equal to:
6x^2 - 13x + 5 which is good.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


6x%5E2-13x%2B5

All of the answer choices produce the correct quadratic term in the product: %283x%29%282x%29=6x%5E2.

The constant term is positive; that means the signs in the two factors are the same -- both positive of both negative.

The linear term is negative; that means the signs in both factors must be negative.

So we need the signs in both factors to be negative; the answer is either choice B or choice C.

To determine which is correct, perform the multiplication in each of those choices to find which one produces the correct linear term in the product.

Choice B: %283x-5%29%282x-1%29
The linear term in the product is %28-5%29%282%29%2B%28-1%29%283%29=-10-3=-13
The linear term in the product is correct.

ANSWER: B

We don't need to look at answer choice C, because choice B is correct. But observe that the linear term in the product with choice C is %28-1%29%282%29%2B%28-5%29%283%29=-2-15=-17, which is not correct.