Question

How do you simplify `12(3x^2+7x+1)`?

Answer 1

See a solution process below:

Explanation:

To simplify this expression multiply each term within the parenthesis by the term outside the parenthesis:

`color(red)(12)(3x^2 + 7x + 1) =>`

`(color(red)(12) xx 3x^2) + (color(red)(12) xx 7x) + (color(red)(12) xx 1) =>`

`36x^2 + 84x + 12`

Answer 2

can't be simplified

Explanation:

`y = 12(3x^2 + 7x + 1)`
This expression can't be simplified, because the trinomial in parentheses can't be simplified.
`D = b^2 - 4ac = 49 - 12 = 37`.
Since D is not a perfect square, then, this trinomial can't be factored.