Question 1181246
Rational roots theorem should show zeros to be  -1/2, 2, and 3.  If let x equal to 0, this should give the y-intercept.


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Possible Roots (zeros) to check according to Rational Root Theorem:
-3,+3,-2,+2,-1,+1,-1/2,+1/2


TEST FOR SOME ROOTS

<pre>
3   |   2   -9   7   6
    |
    |       6   -9  -6
    ---------------------
        2  -3  -2   0           linear root x-3


2  |   2   -3   -2
   | 
   |       4     2
   ------------------
       2    1    0            linear root x-2
</pre>

Other linear root according to result in the synthetic division,
2x+1


The function, factorized is {{{highlight(P(x)=(x-3)(x-2)(2x+1))}}}.
The zeros are  3, 2,  -1/2.


You can find the y-intercept.