Part 1 of 2 Use synthetic division and the factor theorem to determine whether x-2 is a factor of f(x) f(x)=2x^3-9x^2+16x-12 Complete the first row of the synthetic division table square square

To determine whether is a factor of \( f(x) = 2x^3 - 9x^2 + 16x - 12 \) using synthetic division and the factor theorem, we need to follow these steps:1. **Set up the synthetic division table:** - Write down the coefficients of \( f(x) \): . - Use the zero of the divisor , which is .The synthetic division table will look like this: 2. **Perform the synthetic division:** - Bring down the first coefficient (2) directly below the line. - Multiply this number by the zero of the divisor (2) and write the result under the next coefficient. - Add the numbers in the second column and write the result below the line. - Continue this process for all columns.Here is the completed first row of the synthetic division table: So, the first row of the synthetic division table is: