anonymous
  • anonymous
Factor the following trinomial expression by a method of your choice: 3x2 + 7x-10. A. (3x + 2)(x - 5) B. (3x + 5)(x - 2) C. (3x + 1)(x - 10) D. (3x + 10)(x - 1)
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
AriPotta
  • AriPotta
multiply the first and third terms. what do you get?
anonymous
  • anonymous
30
anonymous
  • anonymous
Trying to factor by splitting the middle term 2.1 Factoring 3x2+7x-10 The first term is, 3x2 its coefficient is 3 . The middle term is, +7x its coefficient is 7 . The last term, "the constant", is -10 Step-1 : Multiply the coefficient of the first term by the constant 3 • -10 = -30 Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 . -30 + 1 = -29 -15 + 2 = -13 -10 + 3 = -7 -6 + 5 = -1 -5 + 6 = 1 -3 + 10 = 7 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10 3x2 - 3x + 10x - 10 Step-4 : Add up the first 2 terms, pulling out like factors : 3x • (x-1) Add up the last 2 terms, pulling out common factors : 10 • (x-1) Step-5 : Add up the four terms of step 4 : (3x+10) • (x-1) Which is the desired factorization Final result : (x - 1) • (3x + 10)

Looking for something else?

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

More answers

AriPotta
  • AriPotta
10 is negative, so you get -30. now you wanna find two numbers that when multiplied together get -30, and when added together get 7, the middle term.
anonymous
  • anonymous
D @Aureyliant
AriPotta
  • AriPotta
...
anonymous
  • anonymous
Correct! @cassiesilva0628 please remember to ask if you don't understand something... you won't always have access to openstudy on tests and/or other things school related.
anonymous
  • anonymous
@AriPotta Thank you. :)
anonymous
  • anonymous
okay thank you so much for all you help @Aureyliant
anonymous
  • anonymous
No problem, but @AriPotta deserves the medal more than I do because he/she was answering the Q first, and was actually engaging you rather than I was. :)

Looking for something else?

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