Question

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

Answer 1

`-45`

Explanation:

To calculate p(c) substitute x = c into f(x) and to evaluate when c = -3, substitute c = - 3 into p(c).

`rArrp(color(blue)(c))=2color(blue)(c)^3-color(blue)(c)+6`

and when c = -3

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

`rArrp(-3)=-54+3+6=-45`