Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The difference between two trinomials is 5x2 + 11x − 16. If one of the trinomials is 3x2 − 2x + 7, then which expression could be the other trinomial?

Sagot :

Applying the difference, it is found that the other trinomial could be given by: 8x² + 9x - 9.

What are the trinomials?

We are working with second degree trinomials, hence:

  • One is 3x² - 2x + 7.
  • The other is ax² + bx + c.
  • The difference is 5x² + 11x - 16.

Hence:

ax² + bx + c - (3x² - 2x + 7) = 5x² + 11x - 16.

(a - 3)x² + (b + 2)x + c - 7 = 5x² + 11x - 16.

Then:

  • a - 3 = 5 -> a = 8.
  • b + 2 = 11 -> b = 9.
  • c - 7 = -16 -> c = -9

Then, the trinomial is:

8x² + 9x - 9.

More can be learned about trinomials at https://brainly.com/question/1538726

#SPJ1

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.