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anonymous
 4 years ago
Algebraically find the exact real zeros and state the multiplicity of each.
f(x) = 32x^3  4
anonymous
 4 years ago
Algebraically find the exact real zeros and state the multiplicity of each. f(x) = 32x^3  4

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campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.2well I'd divide by 32 so x^3  1/8 1/8 = (1/2)^3 so you are factoring x^3  (1/2)^3 a^3  b^3 = (a  b)(a^2 + ab + b^2)

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.2let a x and b = 1/2 and substitute

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.2so the real zero is x = 1/2 from 1st bracket and 2 brackets (x^2 + 1/2x + 1/4) have unreal roots...

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.0Click on the link to see the two Complex solutions. http://www.wolframalpha.com/input/?i=0%3D+4x%5E2%2B2x%2B1
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