10
QuizMultiple Choice

Solving Quadratic Equations: Factoring — Quiz

Question 10 • Algebra: Concepts and Connections

Two positive integers are 3 units apart on a number line. Their product is 108 Which equation can be used to solve for m , the greater integer?

Answer
A
m times open paren m plus 3 close paren is equal to 108
B
open paren m minus 12 close paren times open paren m minus 9 close paren is equal to 108
C
open paren m plus 3 close paren times open paren m minus 3 close paren is equal to 108
D
m times open paren m minus 3 close paren is equal to 108

Explanation

Let m be the greater integer. Since the integers are 3 units apart, the lesser integer is m − 3. Their product is 108, so the equation is m(m − 3) = 108, which is choice C.

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