Answer :
Final answer:
To use synthetic division, arrange the terms in descending order, write the divisor, perform the division, and write the final result.
Explanation:
To use synthetic division to find the result of dividing x4-5x3-23x2+5x+6 by x+3, follow these steps:
- Arrange the terms of the polynomial in descending order of exponents:
- Write the divisor (x+3) and set it equal to zero to solve for x:
- Start synthetic division by writing the coefficient of the highest exponent term, which is 1, above the table:
- Multiply the divisor (x+3) by the result from the previous step. Write the product below the next column:
- Add the values in each column:
- Write the final result of the division:
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