Question

Find the remainder when the polynomial   2 6 2 2

4 3 2

f x  x  x  x  x  is

divided by x  2.​

Answer 1

Answer:

If x + 2 = 0

x = -2

f(x) = 2x4 – 6x3 + 2x2 – x + 2, [By remainder theorem]

f(x) = 2(-2)4 – 6(-2)3 + 2(- 2)2 – (- 2) + 2

= 2(16) – 6(- 8) + 2(4) + 2 + 2

= 32 + 48 + 8 + 2 + 2 = 92

Hence, required remainder = 92.

Answer 2

Answer:

required remainder is 92

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