Question

use synthetic division and the remainder theorem to find the indicated function value. f(x)=5x^3 - 3x^2 - 7x + 3; f(-3) f(-3)=□

Explanation:

Step1: Set up synthetic division

Write -3 (from f(-3)) to the left. Then list the coefficients 5, -3, -7, 3 of the polynomial \(f(x)=5x^{3}-3x^{2}-7x + 3\).

Step2: Bring down the first coefficient

Bring down the 5.

Step3: Multiply and add

Multiply -3 by 5 to get -15. Add -3 and -15 to get -18.

Step4: Multiply and add again

Multiply -3 by -18 to get 54. Add -7 and 54 to get 47.

Step5: Multiply and add one - more time

Multiply -3 by 47 to get -141. Add 3 and -141 to get -138.

Answer:

-138