Long division with polynomials

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thread starter Survivalism Feb 21 2010 + PM | QUOTE | PERMALINK | REPORT

I'm having some confusion with the 2nd term. Say I have a question that asks: (w^2+6w+2)/(w+5) / = divided by ^2= to the power of 2 So when you divide with exponents, you subtract. meaning w^2/w=w. I'd write that in the answer area. However, what do I do with the 5 and the 6w?

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DarkWater + PM | QUOTE | PERMALINK | REPORT

When I divided this, I got w + 1 - (3/w+5). What do you mean "what do I do with the 5 and the 6w"?

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iNerd + PM | QUOTE | PERMALINK | REPORT

It doesn't work that way for the question you have. You would have to fully factor the top trinomial, then cancel out any like factors. But in this case, that isn't possible. The only way is through long/synthetic division.

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DarkWater 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] iNerd : It doesn't work that way for the question you have. You would have to fully factor the top trinomial, then cancel out any like factors. But in this case, that isn't possible. The only way is through long/synthetic division. [/quote] I think he knows that. He said "long division" in the title.

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iNerd 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] DarkWater : I think he knows that. He said "long division" in the title. [/quote] LOL, whoops, my bad, didn't read.

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Shrimp 02/21/10 + PM | QUOTE | PERMALINK | REPORT

Dude, long division suckkkkkkkkksss.. Synthetic division all the way O_O

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DarkWater 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] Shrimp : Dude, long division suckkkkkkkkksss.. Synthetic division all the way O_O [/quote] They're both really easy. o_O This problem should literally take no more than 5 seconds.

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Shrimp 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] DarkWater : They're both really easy. o_O This problem should literally take no more than 5 seconds. [/quote] My mind totally blacks out with long division.... I was sick that day, and our teacher is a genius but sucks at teaching so if I don't understand normally, it's harder when I'm sick and not paying attention. Anyways, synthetic is wayyy easier for me O_O

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bombinator 02/21/10 + PM | QUOTE | PERMALINK | REPORT

http://www.youtube.com/watch?v=l6_ghhd7kwQ&feature=channel This guy helped me remember how to do synthetic division and I found his unit circle tutorial very useful too. I'd recommend him.

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DarkWater 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] Shrimp : My mind totally blacks out with long division.... I was sick that day, and our teacher is a genius but sucks at teaching so if I don't understand normally, it's harder when I'm sick and not paying attention. Anyways, synthetic is wayyy easier for me O_O [/quote] Yeah, but it only works if the denominator is in the form (x-c). That doesn't happen too often.

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Survivalism 02/21/10 + PM | QUOTE | PERMALINK | REPORT

paint to the rescue

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Qualitive 02/21/10 + PM | QUOTE | PERMALINK | REPORT

The answer is w + 1 - 3/(w+5)

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DarkWater 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] Survivalism : paint to the rescue [/quote] OH. Multiply the w that you found in that part of your answer by every term except the first one (in this case it's just the 5). You get 5w, obviously. Then you do (w^2 + 6w) - (w^2 + 5w) and get w. You bring the 3 down and repeat.

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brewskie425 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] bombinator : http://www.youtube.com/watch?v=l6_ghhd7kwQ&feature=channel This guy helped me remember how to do synthetic division and I found his unit circle tutorial very useful too. I'd recommend him. [/quote] Patrick is a god with calculus on youtube. I use his videos all the time ;D

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xTurtally 02/21/10 + PM | QUOTE | PERMALINK | REPORT

[quote] Survivalism : paint to the rescue [/quote] wat.

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