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Mathematics 15 Online
OpenStudy (anonymous):

(z-8) times (z-5) Multiply the binomals.

terenzreignz (terenzreignz):

FOIL away :)

OpenStudy (anonymous):

What is the foil method?

terenzreignz (terenzreignz):

Excellent question :) When you multiply a pair of binomials, say, (a + b) and (c + d) We have what are called its FIRST terms \[\large (\color{red}{a}+{b})(\color{red}{c}+{d})\] Its OUTER terms \[\large (\color{green}{a}+{b})({c}+\color{green}{d})\] Its INNER terms \[\large ({a}+\color{orange}{b})(\color{orange}{c}+{d})\] And finally, the LAST terms. \[\large ({a}+\color{blue}{b})({c}+\color{blue}{d})\]

OpenStudy (xanthe):

lol

terenzreignz (terenzreignz):

That's what FOIL stands for, FIRST, OUTER, INNER, and LAST terms. In your case, you have (z-8) and (z-5) In this pair, what are your FIRST terms?

OpenStudy (anonymous):

z & z?

OpenStudy (anonymous):

z and z so z squared

terenzreignz (terenzreignz):

That's right :) So you multiply them, and you get?

OpenStudy (anonymous):

... z^ 2?

OpenStudy (anonymous):

the first part of the equation

terenzreignz (terenzreignz):

Good. So put that down... \[\Large \color{red}{x^2}...\] Next... what are the OUTER terms?

OpenStudy (anonymous):

z & 5 ?

OpenStudy (anonymous):

-5z

terenzreignz (terenzreignz):

Pay close attention to the signs... they matter :)

OpenStudy (anonymous):

okay okay, i get it now. thank you.

terenzreignz (terenzreignz):

Great :) If you're willing, post your answer :D

OpenStudy (anonymous):

-5z is wrong.

terenzreignz (terenzreignz):

That's because that's not the answer, but only part of it.

OpenStudy (anonymous):

ohhhhhhhhh.

OpenStudy (anonymous):

You have to apply the whole of the rule

OpenStudy (xanthe):

Use this!:D |dw:1368885428064:dw|

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