How do you find the possible rational zeros of a function?

The Rational Zeros Theorem states: If P(x) is a polynomial with integer coefficients and if is a zero of P(x) (P( ) = 0), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x). We can use the Rational Zeros Theorem to find all the rational zeros of a polynomial.

What theorem which gives a list of the possible rational zeros of a polynomial function?

The Rational Zero Theorem
The Rational Zero Theorem states that, if the polynomial f(x)=anxn+an−1xn−1+… +a1x+a0. + a 1 x + a 0 has integer coefficients, then every rational zero of f(x) has the form pq where p is a factor of the constant term a0 and q is a factor of the leading coefficient an .

What are the possible rational zeros?

The Rational Zero Theorem tells us that if p q \displaystyle \frac{p}{q} ​qp​ is a zero of f ( x ) \displaystyle f\left(x\right) f(x), then p is a factor of 1 and q is a factor of 2. These are the possible rational zeros for the function.

What is the rational zero test used to find rational zeros?

It is sometimes also called rational zero test or rational root test. We can use it to find zeros of the polynomial function. It is used to find out if a polynomial has rational zeros/roots. It also gives a complete list of possible rational roots of the polynomial.

How does the rational root theorem and factor theorem helps you in solving polynomial equation?

The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.

What does the Rational Zero Theorem state?

The Rational Zero Theorem tells us that if p q \displaystyle \frac{p}{q} ​qp​ is a zero of f ( x ) \displaystyle f\left(x\right) f(x), then p is a factor of 1 and q is a factor of 2.