Answers Mathematics III Factoring Polynomials Completely — QuizQuestion 17

17

QuizMultiple Choice

Factoring Polynomials Completely — Quiz

Question 17 • Mathematics III

What is the factored form of A squared minus 121 ?

Answer

A

open paren A plus 11 close paren times open paren A plus 11 close paren

B

open paren A minus 11 close paren times open paren A plus 11 close paren

C

open paren A minus 121 close paren times open paren A minus 1 close paren

D

open paren A minus 121 close paren times open paren A plus 1 close paren

Explanation

This is a difference of squares: A² − 121 = A² − 11². Using x² − y² = (x − y)(x + y), the factored form is (A − 11)(A + 11), which is choice C.

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