SOLUTION: Use the Rational Zero Theorem to list the possible rational zeros of the polynomial 4x4 - 9x2 + 5.

Algebra.Com
Question 90355: Use the Rational Zero Theorem to list the possible rational zeros of the polynomial 4x4 - 9x2 + 5.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients


So let's list the factors of 5



Now let's list the factors of 4



Now let's divide each factor of the last coefficient by each factor of the first coefficient




Now simplify

These are all the possible zeros of the function



RELATED QUESTIONS

Use the Rational Zero Theorem to list all possible rational zeros for the given function. (answered by lwsshak3)
Use the rational zero theorem to list all possible rational zeros for the given function. (answered by DrBeeee)
Use the Rational Zero Theorem to list all possible rational zeros for the given function. (answered by oscargut)
use the rational zero theorem to list all possible rational zeros.... (answered by stanbon)
1. Use synthetic division to divide the polynomial 2x^3 + 7x^2 – 5 by 3+x and write the... (answered by jim_thompson5910)
Use the rational zero theorem to list all the possible rational zeros of f(x). f(x)=... (answered by Fombitz)
4.6 The following function is given. f(x)=x^3 -5x^2 -9x+45 a. List all rational... (answered by Boreal)
I have a question that states: use the Rational Zero Theorem to find all possible... (answered by scianci)
3x4-4x3+x2+6x-2 This is 3x to the fourth, - 4x to the third, + X to the second, + 6X -2.... (answered by josgarithmetic)