The remainder is 8 in the given synthetic division problem. which is the correct answer would be option (B).
<h3>What is the division operation?</h3>In mathematics, divides left-hand operands into right-hand operands in the division operation.
In the given synthetic division, the coefficients of terms are 4,6, and -2.
Fill in the first coefficient as it appears on the bottom line.
Now multiply 1 by 4 and write the result (i.e., 4) underneath the second coefficient in the center line.
Now multiply 6 by 4 and write the result (i.e., 10) in the bottom row.
Now multiply 1 by 10 and write the result (i.e., 10) below the third coefficient in the center line.
Now add -2 with 10 and write the result (i.e., 8) in the bottom row.
The first two terms now indicate the polynomial coefficient, while the last term shows the remainder.
Therefore, the remainder is 8 in the given synthetic division problem.
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