standard_description: Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
problem_activity: Task
Cecil has two six-sided dice, a red one and a white one.
If Cecil throws the two dice, what is the probability that the red die is a 1?  What is the probability that the sum of the dice is 7?
Are the two events described part (a) independent?  Explain.
What is the probability that the red die is a 2?
What is the probability that the sum of the two dice is 10?
Are the two events described in part (c) independent?  Explain.


aligns: no