Question

the rational roots of a polynomial function F(x) can be written in the form p/q, where p is a factor of the constant term of the polynomial, and q is a factor of the leading coefficient is this true or false?

Answer 1

Answer:

The following statement is TRUE.

Step-by-step explanation:

Since by the Rational Root Theorem.

for a polynomial equation :

$a_{n}x^{n}+a_{n-1}x^{n-1}+.......+a_{0}=0$ ; where $a_{i}'s$ are real numbers.

The theorem states that if $a_{0}$ and $a_{n}$ are non zero real numbers.

then each rational solution x, when written as a fraction x = p/q in lowest terms (i.e., the greatest common divisor of p and q is 1), satisfies :

•  p is an integer factor of the constant term $a_0$, and

• q is an integer factor of the leading coefficient $a_n$.

Hence, the given statement is True.

Answer 2

Answer:

answer is false on apex

Step-by-step explanation: