University:
North Central College
Course:
MATH 151 | Calculus I
Academic year:

2019
Views:

273

Pages:

3
Author:

larbiwxcvbn

5.2 Synthetic Substitution Synthetic Substitution a process, using only the coefficients to determine the answer to a substitution problem. 1. Draw your this. 2. List all coefficients inside the box on the top line (make sure you insert zeros for missing terms) and the value that you are substituting in, outside the box. 3. Bring the first term down to the answer line. 4. Multiply the answer by the number outside the box and add it to the next coefficient. 5. Repeat step 4 until you are finished. The last value in the number line is your answer. 1 5.5 Synthetic Division Synthetic Division a process, using only the coefficients, that can be used to divide any polynomial by a divisor of the form (x k) 1. List all coefficients inside the box and place the k outside. 2. Bring down the 1st term 3. Multiply the number under the bar by the divisor and add it to the next coefficient. 4. Repeat step 3 until the end. 5. The numbers under the bar are the coefficients of your answer. The variable on the first coefficient is always 1 degree less than what you started with and the number in the bottom right is the remainder. 2 *If your remainder is zero, then your divisor is a factor of the original polynomial. Given one factor, find all other factors of the polynomial.

Synthetic Substitution and Division

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