Question

using remainder therorem x³-2x²-4x-1 is divided by (x+1)

Answer 1

Hey mate
Here is your answer,

★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆

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.

★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆★ ☆

Hope this helps!

regrets
Sneha