20
QuizMultiple Choice

Polynomial Expressions — Test

Question 20 • Algebraic Reasoning

If open paren x squared minus 4 close paren divided by open paren x plus 2 close paren is equal to x minus 2 , which polynomial should fill in the blank? open paren x plus 2 close paren times ___________ is equal to x squared minus 4

Answer
A
x squared minus 4
B
x minus 2
C
x plus 2
D
x squared minus 2

Explanation

The numerator factors as a difference of squares: x² − 4 = (x + 2)(x − 2). Therefore, the polynomial that makes (x + 2) times the blank equal x² − 4 is x − 2, which is choice A.

AI-written and checked against the verified answer.

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