Question

What is the standard form of # y=(3x + 2)(x + 4) #?

Answer 1

See a solution process below:

Explanation:

To put this equation in standard form we must multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

`y = (color(red)(3x) + color(red)(2))(color(blue)(x) + color(blue)(4))` becomes:

`y = (color(red)(3x) xx color(blue)(x)) + (color(red)(3x) xx color(blue)(4)) + (color(red)(2) xx color(blue)(x)) + (color(red)(2) xx color(blue)(4))`

`y = 3x^2 + 12x + 2x + 8`

We can now combine like terms:

`y = 3x^2 + (12 + 2)x + 8`

`y = 3x^2 + 14x + 8`