Question

Find the zeros and complete the factorization

Answer 1

`(x^(2) -√(5) )(x^(2) +√(5) )(x^(2) +4)`

Explanation:

`x^(4) -x^(2) -20\\if x^(2) =y\\y^(2) -y -20\\y^(2) -5y +4y - 20\\y(y-5)+4(y-5)\\(y-5)(y+4)\\since x^(2) =y\\(x^(2) -5)(x^(2) +4)\\(x^(2) -√(5) )(x^(2) +√(5) )(x^(2) +4)`