Answer :
To find the remainder in the synthetic division problem [tex]\(1 \overline{46-1}\)[/tex], you need to understand the structure of the expression. However, the notation seems a bit unconventional, so I'll interpret it as the problem involving the division of 46 by 1 using synthetic division, although typically synthetic division is applied to polynomials.
1. Identify the Dividend and the Divisor:
- The dividend here is 46.
- The divisor is 1.
2. Perform Division:
- When dividing 46 by 1, you are essentially seeing how many times 1 fits into 46, which, mathematically, is straightforward as any number divided by 1 is the number itself.
3. Calculate the Remainder:
- The remainder of a division problem is what's left over after dividing the number completely. In this case, since 1 goes into 46 exactly 46 times with nothing left over, the remainder is 0.
Thus, the remainder for the division of 46 by 1 is 0.
1. Identify the Dividend and the Divisor:
- The dividend here is 46.
- The divisor is 1.
2. Perform Division:
- When dividing 46 by 1, you are essentially seeing how many times 1 fits into 46, which, mathematically, is straightforward as any number divided by 1 is the number itself.
3. Calculate the Remainder:
- The remainder of a division problem is what's left over after dividing the number completely. In this case, since 1 goes into 46 exactly 46 times with nothing left over, the remainder is 0.
Thus, the remainder for the division of 46 by 1 is 0.
