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garri49 [273]
2 years ago
12

Fundamental Theorem of Algebra...

Mathematics
1 answer:
Fittoniya [83]2 years ago
4 0

Answer:

A real root of fifth-grade multiplicity/No complex roots.

Step-by-step explanation:

The Fundamental Theorem of Algebra states that every polynomial with real coefficients and a grade greater than zero has at least a real root. Let be f(x) = (x+7)^{5}, if such expression is equalized to zero and handled algebraically:

1) (x+7)^{5} = 0 Given.

2) (x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7) = 0 Definition of power.

3) x+7=0 Given.

4) x = -7 Compatibility with the addition/Existence of the additive inverse/Modulative property/Result.

This expression has a real root of fifth-grade multiplicity. No complex roots.

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