duki said:And for B:
Possibles: +/- {1, 5, 10} / {1, 2, 3, 4, 6}
Actual: None
A rational root is a number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. In other words, it is a number that can be written in the form of a/b, where a and b are integers.
To find possible rational roots, you can use the rational root theorem. This theorem states that if a polynomial has integer coefficients, then any rational root 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. You can also use synthetic division or a graphing calculator to find possible rational roots.
Possible rational roots are the numbers that could potentially be solutions to a polynomial equation, while actual rational roots are the numbers that are actually solutions to the equation when plugged in. Possible rational roots may or may not be actual rational roots.
A rational root is a number that can be expressed as a ratio of two integers, while an irrational root is a number that cannot be expressed as a ratio of two integers. To determine if a root is rational or irrational, you can use a calculator or long division to see if the decimal form terminates or repeats.
Yes, a polynomial can have no rational roots. For example, the polynomial x2 + 1 has no rational roots since there is no rational number that, when squared, equals -1. However, every polynomial with real coefficients will have at least one complex root, which may or may not be rational.