Question

What is the standard form of `y=(x+1)(x-3)`?

Answer 1

Quadratic standard form:
`color(white)("XXX")y=x^2-2x-3`

Explanation:

An expression is in polynomial standard form (and quadratics are a type of polynomial) requires that the terms be arranged in descending degree sequence.

Expanding the right side of the given equation:
`y=x^2-2x-3`
`color(white)("XXX")"degree"(x^2) = 2`
`color(white)("XXX")"degree"(-2x) = 1`
and
`color(white)("XXX")"degree"(-3)=0`
this is in "standard form".