The polynomial P(x) satisfies P(x + 2) - P(x) = 6 and P(0) = 2. Find P(x).

When x = 0 p(0) = 2

p(0+2)-p(0) =6

p(2)-2= 6

p(2)=8

p(2+2) -p(2)=6

p(4)=14

I think p(x) = 3x+2 ??

EP is correct.

I used the same method as EP and found

As x increases by 2, P(x) increases by 6

This is a linear relationship, hence it will be a line.

The gradient will be 6/2 = 3

The y intercept is 2

so

the line is

P(x)=3x+2

THX, EP and Melody.....!!!!