Which polynomials are listed with their correct additive inverse? Check all that apply.

x2 + 3x - 2; - x2 - 3x + 2

-y7 - 10; - y7 + 10

6z5 + 6z5 - 6z4; (-6z5) + (-6z5) + 6z4

x - 1; 1 - x

(-5x2) + (-2x) + (-10); 5x2 - 2x + 10

A, C, D

Step-by-step explanation:

we know that

If two numbers have a sum of zero, then we say they are additive inverses

so

case A)

Sum the polynomials;

They are additive inverses

case B)

Sum the polynomials;

They are not additive inverses

case C)

Sum the polynomials;

They are additive inverses

case D)

Sum the polynomials;

They are additive inverses

case E)

Sum the polynomials;

They are not additive inverses

x^2 + 3x - 2; x^2 - 3x + 2

6z^5 + 6z^5 - 6z^4; (-6z^5) + (-6z^5) + 6z^4

x - 1; 1 - x

Step-by-step explanation:

To select the polynomial that has additive inverse, we check the sign of each term. each term has different sign then it has additive inverse

x^2 + 3x - 2

-x^2 - 3x + 2 (sign of all terms are different so correct additive inverse)

-y^7 - 10

-y^7 + 10 (sign of y^7 is same so it is not correct additive inverse)

6z^5 + 6z^5 - 6z^4

(-6z^5) + (-6z^5) + 6z^4 (sign of all terms are different so correct additive inverse)

x - 1

1 - x

-x + 1 (sign of all terms are different so correct additive inverse)

(-5x2) + (-2x) + (-10)

5x2 - 2x + 10 (sign of - 2x is same so it is not correct additive inverse)