Question

How do you evaluate the polynomial `-3x^3+8x^2-4x-6` for `x=4` and for `x=-4`?

Answer 1

`-86" and "330`

Explanation:

`"substitute the given values for x into the expression"`

`-3xx(color(red)(4))^3+8xx(color(red)(4))^2-4xxcolor(red)(4)-6`

`=(-3xx64)+(8xx16)+(-4xx4)-6`

`=-192+128-16-6`

`=-86`

`-3xx(color(red)(-4))^3+8xx(color(red)(-4))^2-4xxcolor(red)(-4)-6`

`=(-3xx-64)+(8xx16)+(-4xx-4)-6`

`=192+128+16-6`

`=330`