Q. If f(v)=4v2−17v+28, use synthetic division to find f(5).
Set up synthetic division: Set up the synthetic division by writing down the coefficients of the polynomial and the value for which we are solving v=5. Coefficients: 4,−17,28 Value: 5
Begin division process: Begin the synthetic division process. Bring down the leading coefficient (4) to the bottom row.
Multiply and write result: Multiply the value we brought down 4 by 5 and write the result under the next coefficient \-17. 4×5=20
Add numbers in second column: Add the numbers in the second column: −17+20=3.Write this result under the line.
Multiply and write result: Multiply the result we just wrote 3 by 5 and write the result under the next coefficient 28.3×5=15
Add numbers in third column: Add the numbers in the third column: 28+15=43. Write this result under the line. This is the remainder and also the value of f(5).
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