Creating Equations, Polynomials, and Quadratic Functions — Test
Question 6 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY
Which shows the correct substitution of the values A , b , and c from the equation negative 2 is equal to negative x plus x squared minus 4 into the quadratic formula? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A
Answer
A
x is equal to the fraction with numerator negative 1 plus or minus square root of 1 squared minus 4 negative 1 negative 2 end root and denominator 2 times negative 1
B
x is equal to the fraction with numerator negative 1 plus or minus square root of 1 squared minus 4 negative 1 negative 4 end root and denominator 2 times negative 1
C
x is equal to the fraction with numerator negative negative 1 plus or minus square root of negative 1 squared minus 4 1 negative 2 end root and denominator 2 times 1
D
x is equal to the fraction with numerator negative negative 1 plus or minus square root of negative 1 squared minus 4 1 negative 4 end root and denominator 2 times 1
Explanation
First rewrite the equation in standard form: adding 2 to both sides gives 0 = x² − x − 2. Comparing with Ax² + bx + c = 0 gives A = 1, b = −1, and c = −2. Substituting these values gives x = [−(−1) ± √((−1)² − 4(1)(−2))]/[2(1)], which is choice C.
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