The given polynomial is
f(x) = 3x³ - 8x² + 3x + 2
Because x = 1 is a zero, therefore (x-1) is a factor.
Perform synthetic division.
1 | 3 -8 3 2
3 -5 -2
------------------
3 -5 -2 0
Therefore
f(x) = (x - 1)(3x² - 5x - 2)
Factorize 3x² - 5x - 2.
3x² - 5x - 2 = (3x + 1)(x - 2)
The remaining zeros are x = -1/3, x = 2.
Answer:
-1/3 is a zero
2 is a zero
Select the correct answer from your given choices.
