Question

What is the standard form of a polynomial `(4x - 3)(5x + 4)`?

Answer 1

See the entire solution process below:

Explanation:

To multiply these two terms and put it in standard form you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(4x) - color(red)(3))(color(blue)(5x) + color(blue)(4))` becomes:

`(color(red)(4x) xx color(blue)(5x)) + (color(red)(4x) xx color(blue)(4)) - (color(red)(3) xx color(blue)(5x)) - (color(red)(3) xx color(blue)(4))`

`20x^2 + 16x - 15x - 12`

We can now combine like terms:

`20x^2 + (16 - 15)x - 12`

`20x^2 + 1x - 12`

`20x^2 + x - 12`