Question

Can someone please help me

Answer 1

Correct Option is -40

For explanation, please echeck the image attached.

By Benjemin

Answer 2

Solution:

• Given,
• $p(x) = {7x}^{500} - {43x}^{56} - {3x}^{4} - 1$
• Divisor =

$x + 1$

• By remainder theorem when p(x) is divided by x + 1, then remainder = p(-1). [Since, x+1=0 so, x = -1]
• On putting x = -1 in p(x) we get

$p( - 1) = 7( - 1)^{500} - {43( - 1)}^{56} - {3( - 1)}^{4} - 1 \\ = 7 - 43 - 3 - 1 \\ = - 40$

• Remainder = -40

Answer:

The remainder is option 2. -40