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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
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