Q. If g(v)=14v2+33v+32, use synthetic division to find g(−3).
Write Coefficients and Divisor: Write down the coefficients of g(v) and the value we are dividing by, which is −3.
Set Up Synthetic Division: Set up the synthetic division: −3∣143332
Bring Down First Coefficient: Bring down the first coefficient, 14, to the bottom row.−3∣143332\phantom{space}\,|_____\phantom{space}\,\,\,\,\,\,\,\,\, 14
Multiply and Write Result: Multiply −3 by 14 and write the result under the second coefficient, 33.−3∣143332\phantom{000}|_____0014−42
Add Second Column: Add the numbers in the second column: 33+(−42)=−9.−3∣143332 \,|_____14 \, −9
Multiply and Write Result: Multiply −3 by −9 and write the result under the third coefficient, 32.−3∣143332\,\,\,\,\,|_____\,\,\,\,\,14 \,−9 \, 27
Add Third Column: Add the numbers in the third column: 32+27=59.−3∣143332\phantom{space}|\underline{\phantom{space}}\phantom{space}14−959
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