Q. If g(v)=9v2−20v+9, use synthetic division to find g(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 1. Coefficients: 9, −20, 9 Value to evaluate: 1
Set Up Synthetic Division: Set up the synthetic division by placing the value to evaluate outside the division box and the coefficients inside. _______1 | 9−209
Bring Down Coefficient: Bring down the first coefficient, which is 9, to the bottom row. _______1∣9−209 -----------9
Multiply and Write Result: Multiply the value we brought down (9) by the value we are evaluating (1) and write the result under the next coefficient. _______1∣9−2099 -----------9
Add Result to Next Coefficient: Add the result of the multiplication (9) to the next coefficient (−20) and write the sum below. _______1∣9−2099−11 -----------9
Multiply and Write Result: Multiply the sum we just found (−11) by the value we are evaluating (1) and write the result under the next coefficient. _______1 | 9−2099−11−11 -----------9
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