Question

What is the standard form of a polynomial `(5x - 5)(2x - 4)`?

Answer 1

Let the expression be labelled as `p(x) = (5x - 5)(2x - 4)`

Performing a multiplication,

`p(x) = 5*2x^2 -4*5x -5*2x +5*4`
`implies p(x) = 10x^2 + x(-20 - 10) + 20`

Thus, we get,

`p(x) = 10x^2 - 30x + 20` which is in the standard form of a two degree polynomial.