Question

Let P(x) =x^6+ax^5+bx^4+cx³+dx²+ex+f.If P(1) =1 P(2) =2 P(3) =3 P(4) = 4 P(5) =5 P(6) = 6 then
a) P(7)=7
b) a+b+c+d+e+f=1
c) a+b+c+d+e+f=0
d) a-b+c-d+e-f=0​

Answer 1

Answer:

Let P(x) =x^6+ax^5+bx^4+cx³+dx²+ex+f.If P(1) =1 P(2) =2 P(3) =3 P(4) = 4 P(5) =5 P(6) = 6 then

a) P(7)=7

b) a+b+c+d+e+f=1

c) a+b+c+d+e+f=0

d) a-b+c-d+e-f=0