How do you write a polynomial function of least degree and leading coefficient 1 when the zeros are 0, 2, 2, 4?
We'll start with the zeros:
These are called "zeros" because we're looking for where the graph crosses the X-axis - or in other words, where "y=0". So we'll have:
We do this because in a function, if one term within an equation that is all multiplication equals 0, the entire function equals 0. So we get:
And now it's just expanding all these terms into one polynomial equation: