Question

finding the least common multiple of polynomials quiz algebra 2 a ae teacher (acc ed) / module 6: rational functions and relations 4. find the lcm of $x^2 - 4$ and $x^2 - 5x - 14$. $\bigcirc$ $(x + 2)(x - 2)(x - 7)$ $\bigcirc$ $(x + 2)$ $\bigcirc$ $(x + 2)(x - 2)(x + 7)$ $\bigcirc$ $(x - 2)(x - 7)$

Explanation:

Step1: Factor first polynomial

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

Step2: Factor second polynomial

$x^2 - 5x - 14 = (x + 2)(x - 7)$

Step3: Take all unique factors

LCM = $(x + 2)(x - 2)(x - 7)$

Answer:

A. $(x + 2)(x - 2)(x - 7)$