If f(X) = X^500 +6X^201-X^2-2X+4, the remainder when divided by x-1 is f(1). Synthetic division is only evaluating the polynomial at the given value. It provides the intermediate values that also offer some advantages. Look up "Horner's Method."flakine said:X^500 +6X^201-X^2-2X+4
is divided by
X-1
You mentioned the Remainder Theorem in your subject line.Is there a trick that I'm missing? How can you solve with such large exponents.
Synthetic division will take forever.
What is the remainder when:
. . X<sup>500</sup> + 6X<sup>201</sup> - X<sup>2</sup> - 2X + 4 is divided by: X - 1
.