5
QuizMultiple Choice

Solving Quadratic Equations: Factoring — Quiz

Question 5 • Algebra: Concepts and Connections

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
x squared minus 8 x plus 308 is equal to 0
B
x squared plus 8 x minus 308 is equal to 0
C
x squared plus 8 x plus 308 is equal to 0
D
x squared minus 8 x minus 308 is equal to 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 D.

AI-written and checked against the verified answer.

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