
Zeros of a function
3. Find all rational zeros of the function:
f(x)=25x^4+25x^3154x^24x+24
got no ide how to do it.
4. Given that (1i) is a zero of the function:
f(x)=4x^411x^3+14x^26x
Find all the zeros of the function.
Now for question 4 i got [x(1i)], [x(1i)] as conjugates now i factor them which gives x^22x+2, and now when i use long division ikeep getting 12x^2 as a remainder??????

Re: Zeros of a function
To get started you could evaluate f(x) with x= some factor of 24.
Once you have one or two roots you could then use polynomial division.

Re: Zeros of a function
i dont understand what you mean mate

Re: Zeros of a function
Need to 'guess one solution' so we will have our 1st factor and can divide to find other factors. If axb is 1st factor a must be factor of 5 and b factor of 24.

Re: Zeros of a function
For your second question, you're right to be dividing by x^22x+2. It's your division that's going wrong. You should get 4x^23x and no remainder.

Re: Zeros of a function
yep youre right now im not sure how i would go about factorising 4x^23x