Algebra
# Rational Root Theorem

What is the sum of all the rational roots of \[x^{7}-2x^{6}+7x-14?\]

What is the product of all the distinct rational roots of the polynomial \[2x^3-9x^2+12x-4?\]

What is the sum of all real roots of the polynomial \[x^3+2x^2+2x-51?\]