Question

Write a cubic function (in standard form) whose graph passes through given points: (-4), (0,10), (2,0) ,(5,0)

Answer 1

The two roots of 2 and 5 mean

y = a(x-2)(x-5)(x-h)

for some h.
Since y(0)=10,

a(-2)(-5)(-h) = 10
ah = -1

Now, fix the bogus (-4) point and see what a and h have to be.