Question

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

A. x2 + 3x – 2; –x2 – 3x + 2
B. –y7 – 10; –y7 + 10
C. 6z5 + 6z5 – 6z4; (–6z5) + (–6z5) + 6z4
D. x – 1; 1 – x
E. (–5x2) + (–2x) + (–10); 5x2 – 2x + 10

Answer 1

A, C, and D.

Brief checks:
- A: x^2 + 3x − 2 → −x^2 − 3x + 2 (correct).
- B: −y^7 − 10 → y^7 + 10 (given −y^7 + 10 is wrong).
- C: 6z^5 + 6z^5 − 6z^4 → −6z^5 − 6z^5 + 6z^4 (given matches).
- D: x − 1 → −x + 1 = 1 − x (correct).
- E: −5x^2 − 2x − 10 → 5x^2 + 2x + 10 (given has −2x, so wrong).