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Mathematics 12 Online
EndersWorld:

Write the expression in standard form.

EndersWorld:

\[(x+2)^2\]

EndersWorld:

I know the next step is \[(x+2)(x+2)\]

Hero:

In order to answer this, you would have to know the standard form of a quadratic expression in advance.

EndersWorld:

I know the quadratic formula.

Hero:

Said nothing about quadratic formula. Not needed to solve this.

Flamo:

Don't you do the Foil Method?

EndersWorld:

Nope.

Hero:

FOIL is not needed for this.

EndersWorld:

You said “quadratic” made me think is that..

Flamo:

Oh

Hero:

@Flamo think distributive property for this.

Hero:

If you have \((x + 3)(x + 7)\) let \(a = (x + 3), b = x \text{ and } c = 7\)

EndersWorld:

So.. a=\[x+2\]b=\[x\] and c=\[2\]

Hero:

Then \(a(b + c) = (x + 3)(x + 7) = x(x + 3) + 7(x + 3) = ab + ac = x^2 + 3x + 7x + 21\)

Hero:

\(= x^2 + 10x + 21\) No FOIL needed

EndersWorld:

Is this reverse factoring?

Hero:

Yes @EndersWorld

Hero:

Yes @EndersWorld

EndersWorld:

Next problem IS factoring and I ai t feeling good about it.

Hero:

Not to worry. We will get through it together.

Flamo:

Oh, I see

EndersWorld:

\[x(x+2)+2(x+2)\]

EndersWorld:

\[x^2+2x+2x+4\]

Hero:

Beautiful work so far.

EndersWorld:

\[x^2+4x+4\]

Hero:

Bingo

EndersWorld:

Next is factoring... the bane of my existence...

Hero:

Never liked FOIL anyways. I always knew there was something wrong with the method. I like more automated processes rather than mnemonic techniques. mnemonic techniques like FOIL are not purely mathematical. That's my issue with it. It's a memory technique not a mathematical formula.

EndersWorld:

My memory is shot anyway.

Hero:

That comment was more aimed @Flamo

Flamo:

Oh

Hero:

Wanted his/her response on it.

Flamo:

I'm a he

Hero:

Okay, so what are your thoughts on it? If it were up to me, FOIL would be banned in all countries worldwide

Flamo:

I used FOIL Before, Although I don't remember the other way to not using FOIL and still getting the correct answer.

Flamo:

But why would you want to ban FOIL?

Hero:

Distributive Property is the only real mathematical method to use to multiply two binomials. It's either that or Stack Multiplication: |dw:1525210309860:dw|

Flamo:

Oh wow, That is much easier to me now that I see it.

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