What does the rational roots theorem state?

rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and …

How do you state rational roots?

Video quote: Basically it says you take all possible combinations of the numbers here on the top divided by numbers on the bottom.

What is the rational root theorem example?

The roots of x3 – x2 – 10x – 8 = 0 are -2, -1, and 4. Find the roots of x3 +6×2 + 10x + 3 = 0. There are three complex roots. According to the Integral Root Theorem, the possible rational roots of the equation are factors of 3.

What does the irrational roots theorem tell us?

The irrational root theorem states that if the irrational sum of a + √b is the root of a polynomial with rational coefficients, then a – √b, which is also an irrational number, is also a root of that polynomial.