161k views
1 vote
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

User Liu Dongyu
by
5.4k points

1 Answer

3 votes

Answer:

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

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


User Yoshinobu
by
5.9k points