Question

What is the standard form of a polynomial `(8x-7)(3x+2)`?

Answer 1

See a solution process below:

Explanation:

We can multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis to make this expression in standard form.

`(color(red)(8x) - color(red)(7))(color(blue)(3x) + color(blue)(2))` becomes:

`(color(red)(8x) xx color(blue)(3x)) + (color(red)(8x) xx color(blue)(2)) - (color(red)(7) xx color(blue)(3x)) - (color(red)(7) xx color(blue)(2))`

`24x^2 + 16x - 21x - 14`

We can now combine like terms:

`24x^2 + (16 - 21)x - 14`

`24x^2 + (-5)x - 14`

`24x^2 - 5x - 14`