# How do you determine p(c) given #p(x)=4x^2-33x-180# and c=12?

##### 1 Answer

Aug 31, 2016

#### Explanation:

To determine p(c), substitute x = c into p(x).

#rArr p(color(red)(c))=4(color(red)(c))^2-33(color(red)(c))-180# Thus

#p(c)=4c^2-33c-180# Similarly to evaluate p(c) when c = 12, substitute c = 12 into p(c)

#rArr p(color(red)(12))=4(color(red)(12))^2-33(color(red)(12))-180# Hence

#p(12)=(4xx144)-(33xx12)-180=0#