University:
North Central College
Course:
MATH 140 | Precalculus
Academic year:

2023
Views:

201

Pages:

8
Author:

kundgetanufv

Synthetic division Synthetic division > A shortcut method for dividing polynomials by linear factors of the form (x - k). > More efficient than long division. S T E P S OF S. D. 1. Set up the problem: Write the coefficients of the dividend in a row. Write the value of k (from the divisor x - k) to the left. 2. Bring down the leading coefficient: Bring down the first coefficient. 3. Multiply and add: Multiply the number in the bottom row by k. Add the result to the corresponding coefficient in the top row. Repeat for each remaining coefficient. 4. Interpret the result: The numbers in the bottom row are the coefficients of the quotient. The last number is the remainder. FOR EXAMPLE: Practice problems: Synthetic Division vs. Long Division Synthetic Division vs. Long Division activity