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Noah11012
It's easy to find the trinomial. Just multiply (4x + 5) and (3x - 7) together.

[tex](4x + 5)(3x - 7) = 12x^{2} - 28x + 15x - 35 = 12x^{2} - 13x - 35 [/tex]

So the final answer is [tex]12x^{2} - 13x - 35[/tex]

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Easy, everything you need to do is develop! :)
(4x+5)(3x-7)
First, you multiply 4x by 3x then by -7, and then 5 by 3x then by -7. You get:
12x^2-28x+15x-35
12x^2-13x-35
So the expression (4x+5)(3x-7) is the factorization of the trinomial 12x^2-13x-35

You can re-check your answer (Very important) using x=1:
(4x+5)(3x-7)=(4+5)(3-7)=-36
12x^2-13x-35=12-13-35=-36
The answer has been approved.

Hope this Helps! :)

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