SOLUTION: determine p so that 4q+3 is a factor of 20q^3+23q^2-10q+p

Question 706025: determine p so that 4q+3 is a factor of 20q^3+23q^2-10q+p
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If we factor a 4 out of 4q+3 we get

So if (4q+3) is a factor of our polynomial then so will . This fact is useful because we can more obviously use synthetic division with the :

-3/4 |   20   23   -10   p
------       -15    -6  12 
        --------------------
         20    8   -16  12+p

In order for (and therefore (4q+3)) to be a factor, the remainder, 12+p, must be zero. So "p" must be -12.
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