How do you write in standard form #y = 4(x + 5) - 2(x + 1)(x + 1)#?
Since this expression has many parts, I will color-code it and tackle it one by one.
For the expression in purple, all we need to do is distribute the
What I have in blue, we can multiply with the mnemonic FOIL, which stands for Firsts, Outsides, Insides, Lasts. This is the order we multiply the terms in.
- First terms:
- Outside terms:
- Inside terms:
- Last terms:
This simplifies to
Combining like terms gives us
We see that our polynomial is in standard form,
Hope this helps!