A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the constant term.
The correct option is (2).
What is rational roots of a polynomial?
The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.
Given statement is:
A polynomial, P, has a leading coefficient of one and a constant term. The rational roots of P are all
We know by 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).
So, from the above statement it is clear that p is a factor of the constant term.
Hence, The rational roots of P are all factors of the constant term.
Learn more about Rational Zeros here:
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