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Zolol [24]
3 years ago
12

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

e the other trinomial?
Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

2x^2+13x-23

Step-by-step explanation:

The first trinomial is

3x^2-2x+7

Let the other trinomial be P.


Then


P+3x^2-2x+7=5x^2+11x-16


We make P the subject to obtain,

P=5x^2-3x^2+11x+2x-16-7


We simplify to obtain,

P=2x^2+13x-23


Hence the other trinomial is 2x^2+13x-23






Nana76 [90]3 years ago
4 0

Answer:

other trinomial is (  8x² + 9x - 9 )

Step-by-step explanation:

The difference between two trinomials is 5x² + 11x - 16.

If one of the trinomials is 3x² - 2x + 7 then we have to find the other trinomial.

Let the other trinomial is T.

Then  T - ( 3x² - 2x + 7 ) = 5x² + 11x - 16

         T = ( 5x² + 11x - 16 ) + ( 3x² - 2x + 7 )

           = 5x²  + 11x - 16 + 3x² - 2x + 7

           = ( 5x² + 3x² ) + ( 11x - 2x ) - ( 16 - 7 )

          = 8x² + 9x - 9

Therefore, other trinomial is (  8x² + 9x - 9 )

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