Math, asked by priyak341, 1 year ago

Find thia i need full explanation remainder

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Answers

Answered by BrainlyKing5
16

\bold{\Large{Hey\:Mate\:Here\:Is\:Your\:Answer\:}}


\underline{\bold{Given To ...}}


Find Remainder When ..


\bold{3x \:+\: 2 {x}^{2}\: +\: 4 {x}^{3} \: is \: divided \: by \: (x - 4)}


So Now Let's Move To Solution...


\underline{\bold{Solution...}}


Now According To Question We Need To Find Remainder When .....


\bold{3x + 2 {x}^{2} + 4 {x}^{3} \: is \: divided \: by \: (x - 4)}


So Now To Find Remainder We Have An Theorem Called \underline{\bold{Remainder\:Theorem}}


That Is....


When A Polynomial P(X) Is Divided By A Linear Equation (x -a) Then The Remainder IsP(a)


Therefore Now To Find The Remainder Follow The Simple Steps....


\underline{\bold{Step - 1)\:Find\:Zero\:Of\:The\:Divisor\:}} 


That Is ....


\bold{Here Divisor = (x - 4)}


Now Zero Of X - 4 Is


x - 4 = 0


That Is ....


\bold{x = 4}


So Here 4 Is The Zero ...


\underline{\bold{Step\: - \:2)\:Find\: Remainder\: Using\: Remainder\: Theorem} }


Now let ...


\bold{p(x) = 3x + 2 {x}^{2} + 4 {x}^{3}}


Now According To Remainder Theorem The Remainder When p(X) Divided X - 4 Would Be P(4)...


So Therefore 


\bold{p(4) = 3(4) + 2( {4)}^{2} + 4( {4})^{3}}


Now By Solving This We Have 


\bold{p(4)=12+32+4(64)}


That Is ....


\bold{p(4)=44+256}


So We Have ....


\bold{p(4)=300}


Therefore Remainder When 3x + 2(x)^2 + 4(x)^3 Is Divided By X - 4 Is 300


\textbf{Hence The Required Answer Is }


\boxed{\boxed{300}}


\huge{\bold{Thanks...}}


priyak341: Thankyou very much
Answered by varshini1101
6
heya !!


please refer this attachment


thanks !!
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priyak341: thank you verry much
varshini1101: my pleasure ☺
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