Question

Use synthetic division to determine the quotient. write your answer in standard form. enter the remainder as a fraction, if necessary.

(6x⁴ −24x³−33x² + 20x + 3)

Answer 1

To determine the quotient using synthetic division, you need a specific root value, which is not provided in the question. Synthetic division involves setting up a table, multiplying coefficients, and adding them to find the coefficients of the quotient polynomial.

Step-by-step explanation:

To determine the quotient using synthetic division, we need to use a divisor. In this case, the divisor is x - a, where 'a' is the root of the polynomial equation. First, we set up the synthetic division table by listing the coefficients of the polynomial in descending order. Then, we bring down the first coefficient. Multiply it by the value of 'a' and add it to the second coefficient. Repeat this process until you reach the last coefficient. The resulting values will be the coefficients of the quotient polynomial.

For the given polynomial (6x⁴ − 24x³ − 33x² + 20x + 3), we can use synthetic division with 'a' as the root of the equation to find the quotient. However, since the equation is not provided, we cannot determine the specific root and perform the division. Synthetic division can only be performed using a specific root value.