# How do you determine p(c) given #p(x)=x^2-4x+1# and #c=2-sqrt3#?

##### 1 Answer

Apr 23, 2017

#### Explanation:

#"to evaluate p(c) substitute " x=2-sqrt3" into p(x)"#

#rArrp(color(red)(2-sqrt3))=(color(red)(2-sqrt3))^2-4(color(red)(2-sqrt3))+1#

#"distributing gives"#

#color(white)(rArrp(2-sqrt3))=4-4sqrt3+3-8+4sqrt3+1#

#rArrp(2-sqrt3)=0#