Find each f (c) using synthetic substitution.

12. f (x) = 5x5 + 10x4 + 3x3 + 8x2 - 6x - 3; c = 3

(SHOW WORK)

f (3) = 69

Step-by-step explanation:

Given f (x) = 5x5 + 10x4 + 3x3 + 8x2 - 6x - 3; c = 3

f (x) = 25+40+9+16 - 6x - 3

f (x) = - 6x + 90-3

f (x) = - 6f (3) = 69x + 87

Taken c = 3

f (c) = - 6c + 90-3

f (c) = - 6c + 87

substitute c=3

f (3) = - 6 (3) + 90-3

= - 18 + 87

= 69

Hence., f (3) = 69