Question

F(x)=3x^5-x^4-6x+10
x=-2

Answer 1

`{ \boxed{ \sf{f( - 2) = - 90}}}`

Explanation:

`{ \red{ \tt{f(x) = {3x}^(5) - {x}^(4) - 6x + 10}}}`

`{ \red{ \tt{f( - 2) = 3( { - 2})^(5) - ( { - 2})^(4) - 6( - 2) + 10}}}`

`{ \red{ \tt{f( - 2) = 3( - 32) - 16 + 12 + 10}}}`

`{ \red{ \tt{f( - 2) = - 96 - 16 + 12 + 10}}}`

`{ \red{ \tt{f( - 2) = - 112 + 22}}}`

`{ \green{ \boxed{ \bold{f( - 2) = - 90}}}}`

Answer 2

- 90

Explanation:

substitute x = - 2 into f(x)

f(- 2) = 3
`(-2)^(5)` -
`(-2)^(4)` - 6(- 2) + 10

= 3(- 32) - (16) + 12 + 10

= - 96 - 16 + 22

= - 112 + 22

= - 90