x3 + x2 - 17x + 15 = (x - 1)(x - 3)(x + 5). Thus, the zeros are 1, 3, and -5. All three zeros are rational.
50 has no zeros. It's equal to 50 under all conditions.
52
there are none
All integers are rational numbers.
x^2 + 11x + 6 has no rational zeros.
The rational zeros (or rational roots) of a function y = f(x) are the rational values of x for which y is zero. In graphical terms, these are the values at which the graph of y against x crosses (or touches) the x-axis - PROVIDED that the x value for these points are rational. In the simplest cases, you can solve f(x) = 0 algebraically to find the rational zeros. In other cases, you might need to solve f(x) = 0 by graphical methods, by trial and improvement or by numerical methods such as Newton-Raphson. In all these cases, you need to confirm that the x value is rational.
Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...
x3 + x2 - 17x + 15 = (x - 1)(x - 3)(x + 5). Thus, the zeros are 1, 3, and -5. All three zeros are rational.
50 has no zeros. It's equal to 50 under all conditions.
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?
x = sqrt(2). The zeros are irrational.
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.
take out zeros
A googleplex. It's a 1 with a hundred zeros. NO. A googol (not google) is 1 followed by 100 zeros. A googolplex is 1 followed by a googol zeros. In any case, neither is the largest rational number. There cannot be a largest rational number since one more than that is going to be bigger. But there are some numbers that have been used in serious mathematical studies and that do have names which are far larger. See, for example the wikipedia entry for large numbers (link below).
1, 8, 9