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QUESTION IMAGE

completely factor the given polynomial, if possible. if the polynomial …

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, type
f\ in the answer box.

\\x^2 - 16\\

Explanation:

Identify the polynomial structure

Using the Difference of Squares knowledge point

$$ x^2 - 16 = x^2 - 4^2 $$

Apply the factoring formula

Using the Difference of Squares knowledge point

$$ a^2 - b^2 = (a - b)(a + b) $$
$$ x^2 - 4^2 = (x - 4)(x + 4) $$

Answer:

Completely factor the given polynomial, if possible. If the polynomial cannot be factored, type "NF" in the answer box.

\(x^2 - 16 =\) <blank>\((x - 4)(x + 4)\)</blank>