Synthetic Division
Synthetic Division is a simplified method for dividing polynomials, particularly useful when dividing by linear factors of the form x - c. It streamlines the process by using only the coefficients of the polynomial, eliminating the need for writing out all terms. This technique is faster and less cumbersome than traditional long division.
To perform Synthetic Division, you first write down the coefficients of the polynomial and the value of c from the divisor x - c. Then, you bring down the leading coefficient and multiply it by c, adding the result to the next coefficient. This process continues until all coefficients are processed, yielding the quotient and remainder.