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can you help me understand the rational zeros theorem in this problem
use the rational zeros theorem to list all possible rational zeros of
P(x)= 3x³ - 5x² + 4x - 2
When P(x) is in descending order, then:
The NUMERATOR of any rational zero must be a factor of the number
on the far RIGHT end, which is 2
The DENOMINATOR of any rational zero must be a factor of the number
on the far LEFT end, which is 3.
So the possible numerators are 1 and 2, because they are the only
positive integers that will divide evenly into 2.
The possible denominators are 1 and 3, because they are the only
positive integers that will divide evenly into 3.
So the possible fractions with numerator either 1 or 2 and
denominator either 1 or 3 are
1/1, 1/3, 2/1, and 2/3.
However, these might be positive and they might be negative,
so all the possible rational zeros are
±1/1, ±1/3, ±2/1, and ±2/3
Erasing the 1 denominators:
±1, ±1/3, ±2, and ±2/3
Edwin
