SOLUTION: use synthetic division to determine if 3 is a zero of 2y^3-3y^2-5y

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Question 921286: use synthetic division to determine if 3 is a zero of 2y^3-3y^2-5y
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
The dividend coefficients are 2,-3,-5,0. You must include all of them. There is an alternative, but ...

A root of 3 means a binomial factor (divisor) of x-3.

The synthetic division without explanation goes this way:


_______3____|________2______-3______-5_______0
____________|
____________|_______________6_______9________12
____________|______________________________________
____________|_______2_______3________4_______12

The remainder is 12, which is NOT zero.
Three is not a root of the polynomial.