Question

How do you determine p(c) given `p(x)=3x^3-6x^2+4x-8` and c=2?

Answer 1

0

Explanation:

Express p(x) as p(c) by substituting x = c in for x in p(x).

`p(color(blue)(c))=3(color(blue)(c))^3-6(color(blue)(c))^2+4(color(blue)(c))-8`

`rArrp(c)=3c^3-6c^2+4c-8`

To evaluate p(2) substitute c=2 in for c in p(c)

`rArrp(color(red)(2))=3(color(red)(2))^3-6(color(red)(2))^2+4(color(red)(2))-8`

`=24-24+8-8=0`