exam Maths Puzzle Numerical Ability

Find the quotient and the remainder. (q^3 - 27)divided by (q - 3)

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exam Other Question

x^3+4x+5/x+1

the answer is x^2-x+5

my question is how did solve for this? A radioactive isotope has a half-life of 3000 years. If a sample of this isotope origanally has a mass 30g, what equation would model the mass of this sample over time? What would its mass be after 5 hours?