High School

Use synthetic division to find the result when [tex]x^{4} - 5x^{3} - 23x^{2} + 5x + 6[/tex] is divided by [tex]x + 3[/tex].

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:

  1. Arrange the terms of the polynomial in descending order of exponents:
  2. Write the divisor (x+3) and set it equal to zero to solve for x:
  3. Start synthetic division by writing the coefficient of the highest exponent term, which is 1, above the table:
  4. Multiply the divisor (x+3) by the result from the previous step. Write the product below the next column:
  5. Add the values in each column:
  6. Write the final result of the division:

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