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

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)

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) (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) (Show Source): You can put this solution on YOUR website!

All of the answer choices produce the correct quadratic term in the product: .

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:
The linear term in the product is
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 , which is not correct.

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