anonymous
  • anonymous
I need to know if I can combine X^2 and X as like terms if the second x has no exponent
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
You cannot. You can only combine terms with common terms and the exponents are part of the terms. So this would yield (in simplest form) x^2 + x
anonymous
  • anonymous
So if I am looking to solve for X and the equation looks like X^2+2X=8 how do I do that?
anonymous
  • anonymous
you could subtract 8 from both sides to get x^2 + 2x - 8 = 0 and then factor the right side to (x - 2)(x + 4) = 0. If you set each factor equal to 0 you get: x - 2 = 0 x + 4 = 0 Solving each of these yields x = 2 and x = -4

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I'm sorry, I understand how you went from X^2+2X=8 to X^2+2X -8 = 0 but I don't understand how you got to (x-2)(x+4) = 0 How does that work?
anonymous
  • anonymous
That's what's considered factoring a polynomial. By writing it in the form (x+a)(a+b) it is easy to solve by setting each factor equal to 0. To find a and b you want two number that multiply together to get -8 and add together to get +2. The two numbers that work are a = -2 and b = 4.
anonymous
  • anonymous
Hi, thanks so much for your reply. I'm still having trouble. I don't really see how we are getting -2 and 4 except through guessing... I mean, what is the next line if you were showing your work to show how you got that so that I might make more sense of it. I'm really not trying to cheat on homework, I want to understand
anonymous
  • anonymous
I know. Factoring can be a difficult concept to get. Let me start at the beginning. All binomials (the type of polynomials this works well for) come in the form ax^2+bx+c. When factoring it is sometimes easier to divide the whole problem by "a" to begin with. The example you used had a=1 so it was ready for the next step. In the next step you look at the factors of "c." The factors of 8 are: 1, 8 2, 4 and those are the only ones. Next you look at the factors and find the pair that will add or subtract to give you the "b" value. In this case we had b=2 so the two factors that can be combined to equal 2 are 2 and 4. Now we can write our factored form as (x 2)(x 4) and we are going to put + and - signs in there. In this case we wanted +2 so 4-2=2 and that's how we got the final answer of (x-2)(x+4).
anonymous
  • anonymous
Thank you very much for your help that's really great of you

Looking for something else?

Not the answer you are looking for? Search for more explanations.