Answer :
Synthetic division is a shorthand method of dividing a polynomial by a linear factor of the form [tex](x - a),[/tex] Where 'a' is a constant. Thus, option C is correct.
What is the synthetic division?
To perform synthetic division, we need to set up the problem with the coefficients and the divisor. From the given problem, the coefficients are 2, -3, and 2, and the divisor is x - 1. We write the problem as follows:
1 | 2 -3 2
We then bring down the 2 and multiply it by the 1 to get 2. We add this to -3 to get -1, and then multiply by 1 to get -1. We add this to 2 to get 1. So, the result of the division is:
1 | 2 -3 2
2 -1
-------
-1 1
The process involves dividing the coefficients of the polynomial by the constant 'a' and using the resulting values to obtain the coefficients of the quotient polynomial.
Therefore, The remainder is 1, which is the last term in the result of the division.
Learn more about division here:
https://brainly.com/question/28824872
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The given question is incomplete . The complete question is given below:
What is the remainder in the synthetic division problem below?
1/1 2 -3 2
A. 2
B. 4
C. 3
D. 5
