USE SYNTHETIC SUBSTITUTION TO EVALUATE FOR THE GIVEN VALUE

Use synthetic division to evaluate the function for the indicated value of x.

Problem 1 :

f(x) = -x² - 8x + 30; x = -1

Solution :

From the synthetic division above, we have

f(-1) = 37

Problem 2 :

f(x) = 3x² + 2x – 20; x = 3

Solution :

From the synthetic division above, we have

f(3) = 13

Problem 3 :

f(x) = x³ - 2x² + 4x + 3; x = 2

Solution :

From the synthetic division above, we have

f(2) = 11

Problem 4 :

f(x) = x³ + x² - 3x + 9; x = -4

Solution :

From the synthetic division above, we have

f(-4) = -27

Problem 5 :

f(x) = x³ - 6x + 1; x = 6

Solution :

From the synthetic division above, we have

f(6) = 181

Problem 6 :

f(x) = x³ - 9x – 7; x = 10

Solution :

From the synthetic division above, we have

f(10) = 903

Problem 7 :

f(x) = x⁴ + 6x² - 7x + 1; x = 3

Solution :

From the synthetic division above, we have

f(3) = 115

Problem 8 :

f(x) = -x⁴ - x³ - 2; x = 5

Solution :

From the synthetic division above, we have

f(5) = -152