Question

find the remainder when 4x³-3x²+2x-4 is divided by x+2

Answer 1

Using remainder theorem,

x = -2

======================

4x³ - 3x² + 2x - 4 

4(-8) - 3(4) + 2(-2) - 4 

-32 -12 - 4 - 4 

-52 


Remainder = -52





i hope this will help you


-by ABHAY

Answer 2

Answer:

Concept:

Remainder Theorem

Step-by-step explanation:

Given:

x + 2

4x³-3x²+2x-4

Find:

remainder

Solution:

Using Remainder Theorem, we find the remainder not doing Long Division which says when you divide a polynomial f(x) by (x - c) the remainder is f(c).

x + 2 = 0 => x = -2

f(-2) = 4(-2)^3 - 3(-2)^2 + 2(-2) - 4

f(-2) = -52

The remainder is -52.

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