If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
Rational
1.14 is rational.
Rational. Rational. Rational. Rational.
TRue
It isn't always possible to determine. For example, it is unknown whether the Euler-Mascheroni constant (0.5772156649...) is rational or irrational.Most famous numbers and constants are known to be rational or irrational. If it can be expressed as a fraction a/b where a and b are integers, it's rational.
The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.
If a polynomial function, written in descending order, has integer coefficients, then any rational zero must be of the form ± p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
No. 1/sqrt(9) can be definitively written as 1/3, which is a ratio of constant numbers, and therefore it is a rational number. A number such as pi, which is irrational, cannot be expressed as a constant ratio.
Rational
In algebra, the rational root theorem (or rational root test, rational zero theorem or rational zero test) states a constraint on rational solutions (or roots) of a polynomialequationwith integer coefficients.If a0 and an are nonzero, 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), satisfiesp is an integer factor of the constant term a0, andq is an integer factor of the leading coefficient an.The rational root theorem is a special case (for a single linear factor) of Gauss's lemmaon the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient an = 1.
1.14 is rational.
Rational. Rational. Rational. Rational.
rational
TRue
4.6 is rational.
No, it is rational.