Respuesta :

rgwoot
Total=sum of parts
Total= trinomial 1 + trinomial 2
Also, total - trinomial 1=trinomial 2

7x² - 5x + 4 -(3x² + 2x - 1)=missing trinomial
7x²-5x+4+(-1 )(3x²+2x-1 ) distribution of -1
7x²-5x+4+(-1)(3x²)+(-1)(2x)-(-1)(1)
7x²-5x+4-3x²-2x+1 simplified
7x²-3x²-5x-2x+4+1 commutative
4x²-7x+5 SOLUTION

The another trinomial will be [tex]4x^{2} -7x +5[/tex].

What is trinomial equation?

A trinomial equation is a polynomial equation involving three terms.

According to the given question we have

The sum of two trinomials is [tex]7x^{2} -5x +4[/tex].

And, one of the trinomial be [tex]3x^{2} + 2x -1[/tex].

Let T denotes the other trinomial.

So,

T + [tex]3x^{2} + 2x -1 = 7x^{2} -5x +4[/tex]

⇒ T = [tex]7x^{2} -5x +4 -3x^{2} -2x+1[/tex]

⇒ T = [tex]4x^{2} -7x+5[/tex]

Hence, the another trinomial be [tex]4x^{2} -7x+5[/tex]

Learn more about the trinomial here:

https://brainly.com/question/16347049

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