3
QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Quiz

Question 3 • Algebra II

What are the factors of x squared minus 100 ?

Answer
A
open paren x minus 5 close paren times open paren x plus 20 close paren
B
open paren x minus 10 close paren times open paren x plus 10 close paren
C
open paren x minus 25 close paren times open paren x plus 4 close paren
D
open paren x minus 50 close paren times open paren x plus 50 close paren

Explanation

Recognize x² − 100 as a difference of squares: x² − 10². Use the rule a² − b² = (a − b)(a + b), giving (x − 10)(x + 10). Therefore, the correct choice is B, “(x − 10) times (x + 10).”

AI-written and checked against the verified answer.

Previous
Next