Question

Evaluate each function at the given value using synthetic substitution
1-4

Answer 1

1. g(m) = m^3 -10m^2 +25m +2
m= 6
g(6) = (6)^3 - 10(6)^2 + 25(6) + 2
= 216 - 360 + 150 + 2
= -144 + 150 + 2
= 8
2. f(x) = -x^3 - x + 24, x = 10
f(10)= (-10)^3 - 10 + 24
= - 1000 - 10 + 24
= - 1010 + 24
= - 986
3. g(t) = 3t^4 -8t^2 - 11t + 2, t = -2
g(-2) = 3(-2)^4 - 8(-2)^2 - 11(-2) + 2
= 48 - 32 + 22 + 2
= 16 + 22 + 2
= 40
4.g(x) = 5x^4 + x^2 - x - 41, x = -5
g(-5) = 5(-5)^4 + (-5)^2 - (-5) - 41
= 3125 + 25 + 5 - 41
= 3155 - 41
= 3114