Answer :
Answer:
y = x² - 2x - 3
Step-by-step explanation:
The standard form of a quadratic equation is y = ax² + bx + c .
Here are the steps:
1. Expand the expression (x - 3)(x + 1) :
y = (x - 3)(x + 1)
2. Use the distributive property to expand the product:
y = x(x + 1) - 3(x + 1)
3. Distribute x and -3 :
y = x² + x - 3x - 3
4. Combine like terms:
y = x² - 2x - 3
So, the standard form of the equation y = (x - 3)(x + 1) is:
y = x² - 2x - 3
Answer:
[tex]y=x^2-2x-3[/tex]
Step-by-step explanation:
Standard Form
Standard form for a quadratic equation is always in this format,
[tex]y=ax^2+bx+c[/tex].
The usual way of transforming a quadratic from its vertex or factored form to standard form is by expanding and simplifying the equation at hand.
[tex]\hrulefill[/tex]
Solving the Problem
We can expand this factored form using the FOIL method or summing the products of the,
- first terms
- outer terms
- inner terms
- last terms
with respective to each factor.
Doing that we get,
[tex]y=x^2+x-3x-3[/tex]
[tex]y=x^2-2x-3[/tex].
