Question

What is the standard form of a polynomial `(x+6)(x+4)`?

Answer 1

See a solution process below:

Explanation:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(x) + color(red)(6))(color(blue)(x) + color(blue)(4))` becomes:

`(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(4)) + (color(red)(6) xx color(blue)(x)) + (color(red)(6) xx color(blue)(4))`

`x^2 + 4x + 6x + 24`

We can now combine like terms:

`x^2 + (4 + 6)x + 24`

`x^2 + 10x + 24`