Question

Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11

f(3)=
f(-4)=

please give working for better understanding ​

Answer 1

46 and 277

Explanation:

Given

f(x) =
`x^(4)` - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) =
`3^(4)` - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) =
`(-4)^(4)` - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277