10
QuizMultiple Choice

Solving Quadratic Equations: Factoring

Question 10 • FL-1200700-Mathematics for College Algebra MIS

Two negative integers are 8 units apart on the number line and have a product of 308.Which equation could be used to determine x, the smaller negative integer?

Answer
A
x2 + 8x – 308 = 0
B
x2 – 8x + 308 = 0
C
x2 + 8x + 308 = 0
D
x2 − 8x − 308 = 0

Explanation

Let x be the smaller negative integer. Since the integers are 8 units apart, the other integer is x + 8. Their product is 308, so x(x + 8) = 308; expanding and moving 308 to the left gives x² + 8x − 308 = 0. This is choice A, “x² + 8x − 308 = 0.”

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