Question

b) What is the remainder when x^4 + 4x^3+ 2x^2 - 4x + 6 is divided by
(x - 2)?​

Answer 1

Answer:

Let P(x) = x⁴+4x³+2x²-4x+6

By remainder theorem,

if x-2 is dividing then x-2 = 0 = x =2

P(2) = 2⁴+4(2³)+2(2²)-4(2)+6

P(2) = 16+32+8-8+6

P(2) = 54.

hence the remainder is 54.

Hope it helps.

Mark Brainer.

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