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nataly862011 [7]
3 years ago
14

Find the zeros and complete the factorization

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

(x^{2} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)

Step-by-step 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} -\sqrt{5} )(x^{2} +\sqrt{5} )(x^{2} +4)

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