The function below has at least one rational zero.
Use this fact to find all zeros of the function.

g(x)=3^(4)-17x^(3)+8x^(2)+11x-5
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Question

The function below has at least one rational zero. 
Use this fact to find all zeros of the function.

g(x)=3^(4)-17x^(3)+8x^(2)+11x-5
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

anonymous · Answer

x-1 is   a factor so one zero is x=1

anonymous · Answer

using factor theorem to look for other factors......
one more is x = 5

anonymous · Answer

dividing by x^2 - 6x + 5.......

zarkon · Answer

is g(x) supposed ti start with 3^4?

zarkon · Answer

*to

anonymous · Answer

ive assuymed its 3x^4

anonymous · Answer

quotient is 3x^2 - x -1
zeros of this can be found by formula - thay are both real

anonymous · Answer

Thank you.... I am preparing to apply for some new jobs that will test my math skills, so I am getting prepared now

anonymous · Answer

ok - slight error the quotient is 3x^2 + x -1

anonymous · Answer

are you familiar with the factor theorem?

anonymous · Answer

I am, but I am just not getting back into math after 22 years, so my progress seem to be slooooow

anonymous · Answer

22 years - thats not surprising - just keep practising as much as u can . good luck

anonymous · Answer

Thank you