polynomial and geometry questions (1 Viewer)

[MC Squidge]

1. solve 3x^3-20x^2+33x-14<0

2. Find the formula of this graph



3. In quadrilateral ABCD, sides AB, BC, and CD are 10cm, and angles BAD and CDA are equal. Find the maximum possible area of the quadrilateral.

4. A piece of wire 90cm long is cut into two pieces. One is formed into a circle, the other, an equilateral triangle. What is the smallest the total area of the two shapes can be?

 

[muzeikchun852]

 

[Trebla]

For 2), polynomial takes the general form P(x) = a(x + 2)²(x - 3), but the y-intercept is at (0, 3) hence
3 = -12a
=> a = -1/4
=> P(x) = -1/4 (x + 2)²(x - 3)