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the roots are 1, - 1/3, - 3 1/2 and 3 1/2

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Q: How can you Use the Rational Roots Theorem to solve for the rational roots 3x4 - 2x3 plus 8x2 - 6x - 3 equals 0?
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What is the rational root theroem?

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.


Can the rational zero test be used to find irrational roots as well as rational roots?

Rational zero test cannot be used to find irrational roots as well as rational roots.


What are all the possible rational roots of -39?

-39 has no rational roots.


Are all square roots rational numbers?

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.


How do you determine the values for which a rational expression is undefined?

A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.


Is The square root of 0.151 rational or irrational?

The square roots are irrational.


Are square roots always rational?

No. The square roots of 2, 3 and 5, for a start, are not rational.


Can square roots be rational?

The square root of 16 is rational. The answer would be 4, so, yes; they can be rational.


Is the square root of 0.0625 rational or irrational?

The square roots are rational.


What are the rational roots of 3x3 plus x2-8x plus 6?

I do not believe that there are any rational roots.


Is the square root are rational numbers?

Some square roots are rational but the majority are not.


Are uneven square roots rational or irrational why?

They are rational because the characteristic of evenness and unevenness is relevant only in the context of integers. And all integers are rational.