Question 1138585: use the rational zero theorem to list all possible rational zeroes of (px)=6x^3-4x^2+5x+2. PLease show your work
Answer by greenestamps(13209)   (Show Source):
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The possible rational roots are the numbers of the form p/q or -p/q, where p and q are integers, and where p is a factor of the constant term and q is a factor of the leading coefficient.
In your example, the factors of the constant term are 1 and 2; the factors of the leading coefficient are 1, 2, 3, and 6. So the possible rational roots are (+ or -):
1/1 = 1
2/1 = 2
1/2
2/2 (same as 1/1)
1/3
2/3
1/6
2/6 (same as 1/3)
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