Answer:
Explanation:
The equation 12sec²x - 16 = 0 is not a polynomial equation and cannot be factored into the product of two or more polynomials.
To solve for x, we need to isolate sec²x by adding 16 to both sides and then dividing by 12:
12sec²x - 16 + 16 = 0 + 16
12sec²x = 16
sec²x = 16 / 12
sec²x = 4/3
Now that we have isolated sec²x, we can find x by finding the inverse secant of 4/3.
Note that the inverse secant is a multi-valued function, so there may be multiple solutions for x, which can be obtained using a calculator or tables of trigonometric functions.