Question

completely factor the polynomial, if possible.

\\9x^2 - 16\\

Explanation:

Identify the structure of the polynomial

Using the Difference of Squares knowledge point

$$ 9x^2 - 16 = (3x)^2 - 4^2 $$

Apply the factoring formula

Using the Difference of Squares knowledge point

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

$$ (3x)^2 - 4^2 = (3x - 4)(3x + 4) $$

Answer:

\((3x - 4)(3x + 4)\)