What is the remainder in the synthetic division problem below?

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.

the graph on the bottom right

total of apples - take away four

6-4 = 2

answer is 2 apples