Which of the following polynomials is the correct simplified form of - 21x2+22x2-13x2-10x+5x-102?

A.-12x2-5x-102

B.-12x2+5x-102

C. 12x2+5x-102

D. 12x2-5x-102

A.-12x^2-5x-102

Step-by-step explanation:

We are given a polynomial of degree 2 where terms are not grouped and simplified.

We have

-21x^2+22x^2-13x^2-10x+5x-102

To get this in proper form we have to group the like terms first

x^2 term = - 21x^2+22x^2-13x^2 = x^2 (-21+22-13)

= x^2 (-34+22) = - 12x^2

x terms are - 10x+5x = x (-10+5) = - 5x

Constant term is only one = - 102

Hence the polynomial in simplified form is

-12x^2-5x-102