C1 question - please help!!!

Hi can someone explain how to do this, without using factor theorum (using differentiation)

Find the other point where y=9x-6 and y=3x^3+x^2-2x+1 meet. They also meet at (1,3)

The answer is (-7/3, -27)

Thanks

Why would you use differentiation?

Because its C1, and factor theroum is in C2 and its a differentiation question. I think its something to do with the gradient of the tangent = dy/dx, but i don't know how to do it

I do C1, pretty sure factor thereom is in it!

Hey how would you do part B and C?
a) Calculate the sum of all the even numbers from 2 to 100 inclusive, 2 + 4 + 6 + ...... + 100
(b) In the arithmetic series
k + 2k + 3k + ...... + 100 k is a positive integer and k is a factor of 100.
(i) Find, in terms of k, an expression for the number of terms in this series.
(ii) Show that the sum of this series is
50 + 5000/k

a) a=2 d=2 n=(98-2)/2 + 1
substitute in n/2 (2a+(n-1)d)

b) i) a=K d=k
n=(100-k)/k +1
ii) substitute in the formula
n/2 (2a+(n-1)d)

solve 8x(1+x^2)=0