What is the remainder when (x^4+36) is divided by (x^2−8) ?

When dividing by x² − 8, use the relation x² = 8 to simplify higher powers modulo the divisor. Then x⁴ = (x²)² = 8² = 64, so x⁴ + 36 has remainder 64 + 36 = 100. The correct choice is 100.

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