Answer:
[tex]2x^2+13x-23[/tex]
Step-by-step explanation:
The first trinomial is
[tex]3x^2-2x+7[/tex]
Let the other trinomial be P.
Then
[tex]P+3x^2-2x+7=5x^2+11x-16[/tex]
We make P the subject to obtain,
[tex]P=5x^2-3x^2+11x+2x-16-7[/tex]
We simplify to obtain,
[tex]P=2x^2+13x-23[/tex]
Hence the other trinomial is [tex]2x^2+13x-23[/tex]
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 )
