Question

Write the polynomial as the product of linear factors and list all the zeros of the function:

f(x) = x^4 - 16

Answer 1

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

Therefore

`f(x)=x^4-16\\f(x)=(x^2-4)(x^2+4)\\f(x)=(x-2)(x+2)(x^2+4)`

`(x-2)(x+2)(x^2+4)=0\\x=2 \vee x=-2`