The remainder of
divided by
is
Explanation:
If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.
The polynomial is
and 
The numerator of the division is
and the denominator is
Solve the given polynomial
by the use of synthetic division.
Now obtain the value of
from the denominator.

Divide the coefficients of the polynomial by 

The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is
.Therefore, the remainder of the synthetic division is 
The remainder of
divided by
is 
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Synthetic Division
Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.