9 when f(x) = 2x^4 6x^3 2x^2 x + 2 is divided by x + 2 then the remainder is 1 92 2 48 3 32 4 16

Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.

If x + 2 = 0x = -2

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


f(-2) = 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.

Concept: Remainder Theorem

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