Question

How do you write in standard form `y = (x - 1)(5x + 2)`?

Answer 1

Standard form: `y=5x^2-3x-2`

Explanation:

Standard form for a quadratic is
`color(white)("XXXX")` `y =ax^2+bx+c` for constants `a, b, and c`

Multiplying `(color(red)(x)color(blue)(-1))(5x+2)`
as `color(red)((x))(5x+2)color(blue)( - 1)(5x+2)`
`= color(red)(5x^2+2x)color(blue)( - 5x -2)`
`=5x^2-3x-2`
allows us to rewrite the equation in this standard form.