10 points! how do i factor 8x^2-26x+15

using the ac method?

you!

could you give the steps? is the answer (2x-5)(4x-3)? again! : 3

Yes, your answer is correct.

Step-by-step explanation:

A quadratic is usually represented as Ax^2+Bx+C.

Given quadratic is 8x^2-26x+15, so A=8, B=-26, C=15.

To factor a quadratic, one of the most used is what you term as the AC method.

This works as follows:

Step 1:

calculate the product AC=A*C=8*15=120

Step 2:

Find two factors of AC m and n such that

m*n = AC = 120

m+n = B = -26

Since the sum is negative, AND product is positive, we have both m and n negative!

You can list ALL the factors of 120 and try them in pairs:

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Try the middle pair, -10*-12 = 120, but -10+(-12) = -22.

If the (absolute value of) the sum is too small, then go outwards.

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Next pair to try is -8*-15=120.  and -8+(-15) = -23, which is still too small.

Now try next pair:

{1,2,3,4,6,8,10,12,15,20,30,40,60,120}

Here, we have -6*-20 = 120, and

-6+(-20) = -26 =B, so we have found the necessary factors.

Step 3:  Determine the coefficients of x in the individual factors by grouping

Write out the original expression as a sum of two binomials.

The first binomial is the x^2 term plus one of the factors (-6x) we found,we write

8x^2-6x

The second binomial is the other factor we found (-20x), added to the constant term 15, we write

-20x+15

Factor each binomial, and put together on one line

2x(4x-3) -5(4x-3)

We note that there is (4x-3) as a common factor, so factor that out again to get

(2x-5)(4x-3)

which is the final answer for the factoring problem.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.