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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?

Respuesta :

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

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