Question

use factoring to solve the polynomial equation. check by substitution or by using a graphing utility and identifying x - intercepts.
$2x^4 - 72x^2 = 0$
find the solution set. select the correct choice below and, if necessary, fill in the answer box to complete your choice
a. the solution set is
(use a comma to separate answers as needed. type each solution only once.)
b. there is no solution.

Explanation:

Step1: Factor out greatest common factor

$2x^2(x^2 - 36) = 0$

Step2: Factor difference of squares

$2x^2(x - 6)(x + 6) = 0$

Step3: Set each factor to 0

$2x^2=0,\ x-6=0,\ x+6=0$

Step4: Solve for x

$x=0,\ x=6,\ x=-6$

Answer:

A. The solution set is {-6, 0, 6}