SOLUTION: List all the possible rational zeros of each function 16. p(x)=3x^3-5x^2-11x+3 p= (+or-)1, (+or-)3 q= (+or-)1, (+or-)3 1/1, 1/3, 1/-3, -3/-3 rational zeros 1,3,-3

Question 187074This question is from textbook algebra2
: List all the possible rational zeros of each function
16. p(x)=3x^3-5x^2-11x+3
p= (+or-)1, (+or-)3
q= (+or-)1, (+or-)3
1/1, 1/3, 1/-3, -3/-3
rational zeros
1,3,-3
Making sure if i did the division & simplifying part correct? This question is from textbook algebra2

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 3 (the last coefficient):

Now let's list the factors of 3 (the first coefficient):

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

Now simplify

These are all the distinct rational zeros of the function that could occur

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