Step-by-step explanation:
Replace w^2 with any other variable for eg: w^2=a
so that will make the equation:
a^2-14a-32
now factorize this equation and u can find the value of a
a^2-16a+2a-32
a(a-16)+2(a-16)
so factors= (a+2) (a-16)
since a was w^2 so replace them with w^2 and u got factors of the equation
you can also directly factorize the whole equation through middle term breaking
w^4-16w^2+2w^2-32
w^2(w^2-16)+2(w^2-16)
(w^2+2)(w^2-16)
you get the same answer
