Question

The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the other trinomial? 2x2 − x − 2 2x2 + x + 6 4x2 + 21x + 6 4x2 − 21x – 2

Answer 1

Answer:
`4x^2-21x-2` .

Explanation:

Given: The difference of two trinomials is
`x^2 -10x + 2`. If one of the trinomials is
`3x^2 - 11x - 4`.

Then, the other trinomial will be (
`3x^2 - 11x - 4` ) + (
`x^2 -10x + 2`)

`=3x^2-11x-4+x^2-10x+2\\\\=3x^2+x^2-11x-10x-4+2\\\\=4x^2-21x-2`

Hence, the other trinomial could be :
`4x^2-21x-2` .