Theorem B. If f(x) = xn + an-1xn-1 + … a1x + a0 is a polynomial with integer coefficients an-1, …, a1, a0, then every ra
Posted: Thu Apr 28, 2022 6:26 am
Theorem B. If f(x) = xn +
an-1xn-1 + … a1x + a0
is a polynomial with integer coefficients an-1, …,
a1, a0, then every rational root of f(x) is
an integer that is a divisor of
a0.
Use Theorem B to show that √2 +
√3 is irrational.
an-1xn-1 + … a1x + a0
is a polynomial with integer coefficients an-1, …,
a1, a0, then every rational root of f(x) is
an integer that is a divisor of
a0.
Use Theorem B to show that √2 +
√3 is irrational.