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AssignmentMultiple Select

Adding and Subtracting Polynomials

Question 7 • FL-1200700-Mathematics for College Algebra MIS

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) + 6z4x – 1; 1 – x(–5x2) + (–2x) + (–10); 5x2 – 2x + 10

Answer
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

Explanation

An additive inverse changes the sign of every term, so the polynomial and its inverse add to zero. For A, the inverse of x² + 3x − 2 is −x² − 3x + 2. For C, the inverse of 6z⁵ + 6z⁵ − 6z⁴ is −6z⁵ − 6z⁵ + 6z⁴, and for D, the inverse of x − 1 is 1 − x. B and E do not change every term’s sign correctly.

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