Im extremely new to calculus and im clueless on how to approach this question. Can someone explain to me how IVT and Newton Method works? Please dont skip steps and explain to me the concepts used in the working please!

$3. Use the Intermediate Value Theorem to show that $ f(x)=x^{3}+2 x-4 $ has a root in $ (1,2) $. Then use Newtons Method$

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Im extremely new to calculus and im clueless on how to approach this question. Can someone explain to me how IVT and Newton Method works? Please dont skip steps and explain to me the concepts used in the working please!

$3. Use the Intermediate Value Theorem to show that $ f(x)=x^{3}+2 x-4 $ has a root in $ (1,2) $. Then use Newtons Method$

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