Question

Using remainder theorem find the remainder when x³-2x²-4x-1 is divided by x+1​

Answer 1

Given,

$p(x) = x³-2x²-4x-1$

divided by (factor)

x+1

So if x + 1 = 0

=> x= -1

then if x = -1

$p(-1) = {(-1)}^{3} – {2(-1)}^{2} 4(–1) - 1$

$= -1 - (2 \times 1) – (-4)$

$= -1 - 2 + 4$

$= -3 + 4$

$= 1$

Hence the reminder will be 1.

Answer 2

Answer:

Remainder = 0

Step-by-step explanation:

f(x) = x³-2x²-4x-1  

g(x) = x + 1 = 0

g(x) = -1

f(-x1) = (-1)³ - 2(-1)² - 4(-1) - 1

f(-1) = -1 - 2 + 4 - 1

f(-1) = -3 + 4 - 1

f(-1) = -3 + 3

f(-1) = 0