Question

Factor and find all the zeros of 2x^3+3x^2-8x+3 if -3 is a zero

Answer 1

Using synthetic division, you can find the quadratic factor to be
.. 2x^2 -3x +1
That, in turn, factors as
.. (2x -1)(x -1)
So the complete factorization is
.. (2x -1)(x -1)(x +3)

and the zeros are confirmed by a graphing calculator to be
.. x = 1/2, 1, -3