Question

What is the standard form of a polynomial `(x-3)^2(x-1)`?

Answer 1

`x^3 - 7x^2 +15x - 9`

Explanation:

First multiply out the squared bracket:
`(x^2 - 6x + 9)(x-1)`

Then multiply out the brackets and simplify:
`x^3 - x^2 -6x^2 +6x +9x - 9` =
`x^3 - 7x^2 +15x - 9`