Question 6 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
The variables cap A , cap b , and cap c represent polynomials where cap A is equal to x squared , cap b is equal to 3 x plus 2 , and cap c is equal to x minus 3 What is cap A cap b minus cap c squared in simplest form?
Answer
A
3 x cubed plus 2 x squared minus x plus 3
B
3 x cubed plus x squared plus 6 x minus 9
C
3 x cubed plus x squared minus 6 x plus 9
D
3 x cubed plus 2 x squared minus x minus 3
Explanation
Substitute the polynomials into A·b − c²: x²(3x + 2) − (x − 3)². Expand to get 3x³ + 2x² − (x² − 6x + 9), then combine like terms to obtain 3x³ + x² + 6x − 9. This matches choice B.
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