34
QuizMultiple Choice

N/A — Exam

Question 34 • Algebraic Reasoning

What is the completely factored form of 8 x squared minus 50 ?

Answer
A
2 open paren 2 x minus 5 close paren open paren 2 x minus 5 close paren
B
2 open paren 2 x plus 5 close paren open paren 2 x plus 5 close paren
C
2 open paren x plus 5 close paren open paren x minus 5 close paren
D
2 open paren 2 x plus 5 close paren open paren 2 x minus 5 close paren

Explanation

First factor out the greatest common factor, 2: 8x² − 50 = 2(4x² − 25). The expression inside is a difference of squares: (2x)² − 5² = (2x + 5)(2x − 5). So the completely factored form is 2(2x + 5)(2x − 5), choice D.

AI-written and checked against the verified answer.

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