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If f(v)=4v217v+28f(v) = 4v^2 - 17v + 28, use synthetic division to find f(5)f(5).

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Q. If f(v)=4v217v+28f(v) = 4v^2 - 17v + 28, use synthetic division to find f(5)f(5).
  1. 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=5v = 5. Coefficients: 4,17,284, -17, 28 Value: 55
  2. Begin division process: Begin the synthetic division process. Bring down the leading coefficient (44) to the bottom row.
  3. Multiply and write result: Multiply the value we brought down 44 by 55 and write the result under the next coefficient \-17. 4×5=204 \times 5 = 20
  4. Add numbers in second column: Add the numbers in the second column: 17+20=3-17 + 20 = 3.\newlineWrite this result under the line.
  5. Multiply and write result: Multiply the result we just wrote 33 by 55 and write the result under the next coefficient 2828.\newline3×5=153 \times 5 = 15
  6. Add numbers in third column: Add the numbers in the third column: 28+15=4328 + 15 = 43. Write this result under the line. This is the remainder and also the value of f(5)f(5).

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