How do I factor this polynomial?

\[ q^2 - 121 \]

q 2 − 121 = q 2 − 1 1 2 = ( q − 11 ) ( q + 11 ) a 2 − b 2 = ( a − b ) ( a + b )

Answered by Lilith | 2024-06-10

The polynomial q 2 − 121 can be factored as ( q − 11 ) ( q + 11 ) using the difference of squares formula. This works because 121 can be expressed as 1 1 2 . Hence, it follows the pattern a 2 − b 2 = ( a − b ) ( a + b ) .
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Answered by Lilith | 2024-12-23