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lesya692 [45]
3 years ago
13

Find all of the x-intercepts of the polynomial function p(x) = 3x^3-23x^2+33x–5​

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

x=5/3

x= 3+2\sqrt{2}

x=  3-2\sqrt{2}

Step-by-step explanation:

if graphed the x intercepts would be (5/3 , 0) (3+2\sqrt{2} ) (3-2\sqrt{2})

y intercepts (0,-5)

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\huge \mathbb{\green{\fbox{\pink{ANSWER}}}}

\\  \:  \:  \implies \: sin^{4} \: \theta + cos^{4} \: \theta \rightarrow  \blue{ \frac{1}{2} }

\\ \\ \:  \large \mathfrak \green{Solution}  :

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\\ \sf \rightarrow \: \theta = 45 \degree

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\\ \\\sf \rightarrow \: (\frac{1}{ \sqrt{2} } ) ^{4}  +(\frac{1}{ \sqrt{2} } ) ^{4}

\\ \sf \rightarrow \: ( \frac{1}{  \cancel {\sqrt{2} }}  )^{ \cancel{2}} ( \frac{1}{  \cancel{ \sqrt{2} }}  )^{\cancel{2}} + ( \frac{1}{  \cancel {\sqrt{2} }}  )^{ \cancel{2}} ( \frac{1}{  \cancel{ \sqrt{2} }}  )^{\cancel{2}}

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\\ \\ \sf \rightarrow \: \frac{1}{4} +  \frac{1}{4}

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\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf  \implies \fbox{\pink {\frac{1}{2}}}

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