Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, type
f\ in the answer box.
\\x^2 - 100\\

Explanation:

Identify the polynomial structure

Using the Difference of Squares knowledge point

$$ x^2 - 100 = x^2 - 10^2 $$

Apply the factoring formula

Using the Difference of Squares and Factoring Polynomials knowledge points

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

$$ x^2 - 10^2 = (x - 10)(x + 10) $$

Answer:

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

$$x^2 - 100 =$$

<blank>\((x - 10)(x + 10)\)</blank>