Question #7e6be

1 Answer
Nov 1, 2017

#f(6)=-6#

Explanation:

In general if a polynomial #f(x) #is divided by #(x-a)# we have

#f(x)=q(x)(x-a)+r#

#q(x)=#the quotient polynomial

#r=#the remainder

in this case we are given

#f(x)=q(x)(x-6)-6#

we want #f(6)#

so

#f(6)=q(6)(6-6)-6#

#f(6)=cancel(q(6)xx0)-6#

#:.f(6)=-6#