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practice testMultiple Choice

Practice Test

Question 1 • Algebra 2 with Probability

If open paren x minus 5 close paren is a factor of f of x , which of the following must be true?

Answer
A
Neither x is equal to negative 5 nor x is equal to 5 is a root of f of x .
B
A root of f of x is x is equal to negative 5 .
C
Both x is equal to negative 5 and x is equal to 5 are roots of f of x .
D
A root of f of x is x is equal to 5 .

Explanation

By the factor theorem, if (x − 5) is a factor of f(x), then f(5) = 0. Therefore, x = 5 is a root of f(x), which matches choice A. The factor does not require x = −5 to be a root.

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