12
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Exponential Growth Functions

Question 12 • CA-Mathematics I

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

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 sum to zero. For A, the inverse of x² + 3x − 2 is −x² − 3x + 2. For C, changing each sign gives −6z⁵ − 6z⁵ + 6z⁴, and for D, the inverse of x − 1 is −x + 1, which is 1 − x. B and E do not change every term’s sign correctly.

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