Question

Let P(x) be a non-zero polynomial with integer coefficients. P(1)=5,P(2)=7,FIND P(10)

Answer 1

P(1) =5,p(2)=7

P(x) =p(2)-p(1)

=7-5=2

P(x)=2

P(10)=p(1)+p(2)+8(p(x))

=7+5+2+2+2+2+2+2+2+2=28

Answer 2

Please see the attachment