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If g(v)=9v220v+9g(v) = 9v^2 - 20v + 9, use synthetic division to find g(1)g(1).

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Q. If g(v)=9v220v+9g(v) = 9v^2 - 20v + 9, use synthetic division to find g(1)g(1).
  1. Write Coefficients and Value: To use synthetic division, we first write down the coefficients of the polynomial and the value we are evaluating, which is 11. Coefficients: 99, 20-20, 99 Value to evaluate: 11
  2. Set Up Synthetic Division: Set up the synthetic division by placing the value to evaluate outside the division box and the coefficients inside.\newline _______\newline11 | 99 20-20 99
  3. Bring Down Coefficient: Bring down the first coefficient, which is 99, to the bottom row.\newline _______\newline192091 | 9 -20 9\newline -----------\newline 99
  4. Multiply and Write Result: Multiply the value we brought down (99) by the value we are evaluating (11) and write the result under the next coefficient.\newline _______\newline192091 | 9 -20 9\newline 99\newline -----------\newline 99
  5. Add Result to Next Coefficient: Add the result of the multiplication (99) to the next coefficient (20-20) and write the sum below.\newline _______\newline192091 | 9 -20 9\newline 9119 -11\newline -----------\newline 99
  6. Multiply and Write Result: Multiply the sum we just found (11-11) by the value we are evaluating (11) and write the result under the next coefficient.\newline _______\newline11 | 99 20-20 99\newline 99 11-11\newline 11-11\newline -----------\newline 99
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