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: $4x^2-21x-2$ .

Step-by-step 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 : $4x^2-21x-2$ .