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If the algebraic expression can be written in the form of a(x)/b(x) where a(x) and b(x) are polynomial functions of x and b(x) ≠ 0, then the expression is a rational algebraic expression.

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Q: How do you determine whether an expression is rational algebraic expression or not?
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How do you determine a rational or irrational number?

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.


How can you determine whether the square root of a number is a rational number or an irrational number?

If it can't be expressed as a fraction then it is an irrational number


How you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specific interval?

Discuss how you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specified interval?


Which statement is true Converting an integer to a fraction shows whether it is rational A negative fraction is never rational An integer numerator over a zero denominator is never rational?

Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.


How can you determine whether a polynomial equation has imaginary solutions?

To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.


How do you determine whether a rational number has a terminating decimal expansion?

When the rational number is expressed as a ratio in its simplest form, if the only factors of the denominator are 2 and 5, then the number has a terminating representation. Otherwise it has an infinitely recurring sequence.


What is an algebraic expression for 15 less than x divided by 9?

1.6667


When A calculator is set to show up to 10 digits of a decimal number and yields the following 10 digit output .3263263263. Is it possible to determine whether or not this number is rational why?

The decimal shows a repeating pattern. Repeating decimals are rational.


Is negative17 rational or irrational?

Integers are rational numbers, whether they are positive or negative.


What is an rational?

"Rational" is an adjective and so there cannot be "a rational" (and certainly not "an rational"). Any answer would depend on whether the question was about a rational number, a rational person, a rational argument or "a rational" combined with some other noun.


If you need to ass radical expressions that have different radicands you should determine whether or not you can subtract a radical expression and then combine like tearms. true or false?

true


What happens when a negative sign affects whether or not a number is a rational number?

A negative sign, by itself cannot affect whether or not a number is rational.