Question

Find thia i need full explanation remainder

Answer 1

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

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

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

$\textbf{Hence The Required Answer Is }$

$\boxed{\boxed{300}}$

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

Answer 2

heya !!


please refer this attachment


thanks !!