Question

What is the remainder in the synthetic division problem below?

Answer 1

Answer: The correct option is A, the remainder is 7.

Explanation:

The coefficient of terms in the given synthetic division are 4,6 an -3.

Write the first coefficient as it is in bottom line.

Now multiply 1 by 4 and write the result (i.e., 4) in middle line below the second coefficient.

Now add 6 and 4 and write the result (i.e., 10 ) in bottom row.

Now multiply 1 by 10 and write the result (i.e., 10) in middle line below the third coefficient.

Now add -3 and 10 and write the result (i.e., 7 ) in bottom row.

Now the first two terms shows the coefficient of polynomial and last term show the remainder.

Since the last term is 7 therefore, the remainder is 7.

Answer 2

1 I  4    6    -3
   I        4     10
    ---------------------
      4    10   7
the remainder is 7.