Question

What is the standard form of `y= (x + 1)(x + 10)`?

Answer 1

`y=x^2+11x+10`

Explanation:

The standard form of a quadratic equation follows the general equation:

`y=ax^2+bx+c`

To find the standard form of the equation, expand the brackets:

`y=(color(red)x+color(blue)1)(color(orange)x+color(green)10)`
`y=color(red)x(color(orange)x)+color(red)x(color(green)10)+color(blue)1(color(orange)x)+color(blue)1(color(green)10)`
`y=x^2+10x+x+10`
`y=x^2+11x+10`