Question

answer this question

Answer 1

it help in your answer

Answer 2

$\huge{Hey\:Mate\:Here\:Is\:Your\:Answer\:}$


$\textbf{Given To ...}$

Find Remainder When ..

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

So Now Let's Move To Solution...


$\textbf{Solution...}$


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


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


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


That Is....


$\textbf{When A Polynomial P(X) Is Divided By A Linear Equation (x -a) Then The Remainder Is P(a)}$


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


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

That Is ....


Here Divisor = (x - 4)

Now Zero Of X - 4 Is

$x - 4 = 0$


That Is ....


$x = 4$

So Here 4 Is The Zero ...


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


Now let ...


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

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


So Therefore


$p(4) = 3(4) + 2( {4)}^{2} + 4( {4})^{3}$


Now By Solving This We Have


$p(4) = 12 + 32 + 4(64)$


That Is ....


$p(4) = 44 + 256$


So We Have ....


$p(4) = 300$


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


$\textbf{Hence The Required Answer Is }$

$\boxed{300}$