6x^2-x-15
Are you trying to factor?
I assume you use the guess method..
(6x ) (x )
(3x ) (2x )
These are possible first terms in your binomials
Possible second terms
are -1 and 15 or 15 and -1
3 and -5 or 5 and 3
You begin by
entering the possible second terms into the possible first terms. You multiply the two binomials until you get the right answer.
(3x + 5)(2x -3)
This gives me 6x^2 + 10x -9x - 15
6x^2 + x - 15 This isn't it.. but it is close. Try another choice... Maybe with the -5 and 3.
ok... thank you
You are welcome!!
To simplify the expression 6x^2 - x - 15, we can factor it.
Step 1: Multiply the coefficient of the x^2 term (6) with the constant term (-15).
6 * (-15) = -90
Step 2: Find two numbers that multiply to -90 and add up to the coefficient of the x term (-1). In this case, the numbers are -10 and 9, because (-10) * (9) = -90 and (-10) + (9) = -1.
Step 3: Rewrite the expression using the numbers found in Step 2:
6x^2 - 10x + 9x - 15
Step 4: Group the terms together:
(6x^2 - 10x) + (9x - 15)
Step 5: Factor by taking out the common factor from each group:
2x(3x - 5) + 3(3x - 5)
Step 6: Notice that both terms have (3x - 5) in common. Factor it out:
(2x + 3)(3x - 5)
So, the simplified expression is (2x + 3)(3x - 5).