What number is half way between 21 and 63?
1 answer:
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Answer:
The remainder is 101.
Step-by-step explanation:
We are dividing:
By the Polynomial Remainder Theorem, if we are dividing a polynomial P(x) by a binomial in the form (x - a), the our remainder will be P(a).
The divisor is (x + 1). Therefore, our a = -1.
Then the remainder will be:
We can rewrite our polynomial as:
Each of the parentheses contain fifty terms. -1 to any odd power is -1, and -1 to any even power is 1. Therefore:
Evaluate:
The remainder is 101.