Q. If g(u)=22u2+33u+27, use synthetic division to find g(−1).
Write Coefficients and Value: To use synthetic division, we first write down the coefficients of g(u): 22, 33, and 27. Then we write −1 to the left since that's the value we're evaluating for.
Bring Down First Coefficient: Bring down the first coefficient, 22, as is.
Multiply and Write Result: Multiply −1 by 22 and write the result, −22, under the second coefficient, 33.
Add Coefficient and Number: Add the second coefficient, 33, and the number below it, −22, to get 11. Write this below the line.
Multiply and Write Result: Multiply −1 by the new number, 11, and write the result, −11, under the third coefficient, 27.
Add for Remainder: Add the third coefficient, 27, and the number below it, −11, to get 16. Write this below the line; this is the remainder and also the value of g(−1).
More problems from Evaluate polynomials using synthetic division