Use the polynomial identity x2−a2=(x+a)(x−a) to rewrite x2−196 . Which polynomial does this establish?(1 point)

Answer 1

To rewrite \(x^2 - 196\) using the polynomial identity \(x^2 - a^2 = (x + a)(x - a)\), we can recognize that \(196\) is a perfect square. Specifically, we have:

\[ 196 = 14^2. \]

Using the identity with \(a = 14\), we can rewrite \(x^2 - 196\) as follows:

\[ x^2 - 196 = x^2 - 14^2 = (x + 14)(x - 14). \]

Thus, the polynomial \(x^2 - 196\) is established as:

\[ (x + 14)(x - 14). \]