Question

List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros)

Q(x)=x²-8x³-3x+10

Answer 1

The polynomial is not in descending order.

The leading term is -8x³ and the constant term is 10.

Therefore the possible rational zeros should be:

±1, ±2, ±5, ±10, ±5/2, ± 5/4, ±5/8, ±1/2, ±1/4, ±1/8

Answer 2

The possible rational zeros of the polynomial Q(x) = x² - 8x³ - 3x + 10, according to the Rational Zeros Theorem, are ±1, ±2, ±5, and ±10.