i) For all means it's true no matter what the value of is Just perform the binomial expansion.
ii) Expand which you should have done for part i) and then set it equal to and solve.
I have this question:
(i) show that (2 + x)^4 = 16 + 32x + 24x^2 + 8x^3 + x^4 for all x.
for all x? What does that mean?
(ii) Find the values of x for which (2 + x)^4 = 16 + 16x + x^4
Can someone please explain?
x^4+8 x^3+24 x^2+32 x+16 = x^4+16x+16[/tex]
and cancel and when you take 16x from both sides you get
You can factor out from this equation to give
edit: You have to sub in 0, -1 and 2 on the RHS too
For example using 0
and so is a solution