I'd be eternally greatful if someone could help me with these few problems...
1. The Curve C has the equation
y=x²+ax+b
Where a and b are constants.
Given that the minimum point of C has co-ordinates (-2, 5), Find the values of a and b.
2. Given that
dy/dx=2x³+1,
and that y=3 when x=0, find the value of y when x=2.
And finally
3. f(x)=4x-3x²-x³
(a) Fully factorise f(x)=4x-3x²-x³.
I hope someone can help! It needs to be in by tomorrow, and one person has already been thrown off the course as their work was not upto standard. I fear mine will be without this help! Thanks in advance