Question

The remaindey when 3x4-x3+2x2-2x-4 is divided by x+2​

Answer 1

Remainder is 64

I hope this helped you a lot

Answer 2

AnswEr:-

Your Answer Is 64.

ExplanaTion:-

Here,

We can find out Remainder by 2 methods:-

• Long Division Method

• Remainder Theorem.

1. Long Division Method:-

[See The ATTACHMENT].

Remainder Theorem:-

Since we have to divide 3x⁴ - x³ + 2x² - 2x - 4 by x + 2.

So,

$\tt\mapsto x + 2 = 0.$

$\tt\mapsto \large\red{\boxed{\blue{\bf x = - 2.}}}$

So Lets put the value of x in the given polynomial:-

$\bf\longrightarrow3 {x}^{4} - 7 {x}^{2} + 16x - 34.$

$\tt = 3( - 2) {}^{4} - ( - 2) {}^{3} + 2( - 2) {}^{2} - 2( - 2) - 4.$

$\tt = 3(16) - ( - 8) + 2(4) - 2( -2) - 4 .$

$\tt = 48 + 8 + 8 + 4 - 4.$

$\tt = 48 + 16.$

$\large \blue{\boxed{\red{\bf= 64 = Remainder.}}}$

Therefore The Remainder is 64.