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Language: en

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There<00:00:00.560><c> are</c><00:00:00.719><c> many</c><00:00:01.040><c> methods</c><00:00:01.439><c> for</c><00:00:01.680><c> factoring</c>

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There are many methods for factoring
 

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There are many methods for factoring
tromials.<00:00:03.439><c> When</c><00:00:03.679><c> a</c><00:00:03.840><c> tromial</c><00:00:04.560><c> has</c><00:00:04.720><c> the</c><00:00:04.960><c> form</c>

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tromials. When a tromial has the form
 

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tromials. When a tromial has the form
x^2<00:00:06.720><c> +</c><00:00:07.200><c> b</c><00:00:07.520><c> x</c><00:00:08.160><c> +</c><00:00:08.480><c> c,</c><00:00:09.360><c> it's</c><00:00:09.679><c> also</c><00:00:09.920><c> said</c><00:00:10.160><c> to</c><00:00:10.320><c> have</c><00:00:10.480><c> a</c>

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x^2 + b x + c, it's also said to have a
 

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x^2 + b x + c, it's also said to have a
lead<00:00:11.120><c> coefficient</c><00:00:11.679><c> of</c><00:00:11.920><c> one.</c><00:00:12.639><c> This</c><00:00:12.880><c> is</c><00:00:13.040><c> because</c>

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lead coefficient of one. This is because
 

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lead coefficient of one. This is because
the<00:00:13.759><c> coefficient</c><00:00:14.320><c> of</c><00:00:14.480><c> the</c><00:00:14.639><c> term</c><00:00:14.880><c> with</c><00:00:15.040><c> the</c>

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the coefficient of the term with the
 

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the coefficient of the term with the
highest<00:00:15.599><c> power</c><00:00:16.000><c> is</c><00:00:16.320><c> 1.</c><00:00:17.199><c> When</c><00:00:17.520><c> factoring</c><00:00:18.000><c> a</c>

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highest power is 1. When factoring a
 

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highest power is 1. When factoring a
tromial<00:00:18.880><c> in</c><00:00:19.119><c> this</c><00:00:19.359><c> form,</c><00:00:20.000><c> the</c><00:00:20.240><c> first</c><00:00:20.400><c> thing</c>

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tromial in this form, the first thing
 

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tromial in this form, the first thing
you<00:00:20.800><c> have</c><00:00:20.880><c> to</c><00:00:21.039><c> do</c><00:00:21.359><c> is</c><00:00:21.600><c> make</c><00:00:21.760><c> sure</c><00:00:21.920><c> the</c><00:00:22.160><c> terms</c>

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you have to do is make sure the terms
 

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you have to do is make sure the terms
are<00:00:22.560><c> placed</c><00:00:22.880><c> in</c><00:00:23.119><c> descending</c><00:00:23.760><c> exponential</c>

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are placed in descending exponential
 

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are placed in descending exponential
order.<00:00:25.439><c> This</c><00:00:25.600><c> means</c><00:00:25.840><c> that</c><00:00:26.000><c> you</c><00:00:26.240><c> should</c><00:00:26.400><c> start</c>

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order. This means that you should start
 

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order. This means that you should start
with<00:00:26.880><c> the</c><00:00:27.039><c> highest</c><00:00:27.439><c> power,</c><00:00:28.160><c> then</c><00:00:28.400><c> descend</c>

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with the highest power, then descend
 

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with the highest power, then descend
from<00:00:29.119><c> there.</c><00:00:29.439><c> Our</c><00:00:30.400><c> final</c><00:00:30.800><c> answer</c><00:00:31.199><c> will</c><00:00:31.519><c> have</c>

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from there. Our final answer will have
 

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from there. Our final answer will have
two<00:00:31.920><c> sets</c><00:00:32.239><c> of</c><00:00:32.399><c> parentheses</c><00:00:33.040><c> with</c><00:00:33.360><c> x</c><00:00:33.680><c> as</c><00:00:33.920><c> the</c>

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two sets of parentheses with x as the
 

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two sets of parentheses with x as the
first<00:00:34.399><c> term</c><00:00:34.640><c> in</c><00:00:34.880><c> each</c><00:00:35.440><c> since</c><00:00:35.680><c> that</c><00:00:35.920><c> is</c><00:00:36.079><c> the</c>

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first term in each since that is the
 

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first term in each since that is the
only<00:00:36.480><c> way</c><00:00:36.559><c> to</c><00:00:36.800><c> end</c><00:00:37.040><c> up</c><00:00:37.280><c> with</c>

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only way to end up with
 

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only way to end up with
x^2.<00:00:39.200><c> Determining</c><00:00:39.760><c> the</c><00:00:40.079><c> other</c><00:00:40.239><c> term</c><00:00:40.480><c> in</c><00:00:40.719><c> each</c>

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x^2. Determining the other term in each
 

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x^2. Determining the other term in each
set<00:00:41.120><c> of</c><00:00:41.360><c> parenthesis</c><00:00:42.079><c> requires</c><00:00:42.640><c> some</c><00:00:43.079><c> work.</c>

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set of parenthesis requires some work.
 

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set of parenthesis requires some work.
Since<00:00:44.399><c> the</c><00:00:44.640><c> constant</c><00:00:45.120><c> term</c><00:00:45.520><c> is</c><00:00:46.200><c> pos8,</c><00:00:47.200><c> we</c><00:00:47.440><c> need</c>

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Since the constant term is pos8, we need
 

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Since the constant term is pos8, we need
to<00:00:47.760><c> find</c><00:00:48.160><c> factors</c><00:00:48.559><c> of</c><00:00:48.879><c> 18</c><00:00:49.600><c> or</c><00:00:49.920><c> pairs</c><00:00:50.239><c> of</c>

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to find factors of 18 or pairs of
 

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to find factors of 18 or pairs of
numbers<00:00:50.800><c> we</c><00:00:51.039><c> can</c><00:00:51.280><c> multiply</c><00:00:51.760><c> to</c><00:00:51.920><c> get</c><00:00:52.520><c> 18.</c><00:00:53.520><c> To</c>

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numbers we can multiply to get 18. To
 

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numbers we can multiply to get 18. To
determine<00:00:54.239><c> which</c><00:00:54.559><c> pair</c><00:00:54.800><c> of</c><00:00:54.960><c> factors</c><00:00:55.360><c> works,</c>

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determine which pair of factors works,
 

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determine which pair of factors works,
we<00:00:56.160><c> need</c><00:00:56.320><c> to</c><00:00:56.480><c> look</c><00:00:56.640><c> at</c><00:00:56.800><c> the</c><00:00:57.039><c> middle</c><00:00:57.399><c> term.</c>

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we need to look at the middle term.
 

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we need to look at the middle term.
Since<00:00:58.800><c> the</c><00:00:59.039><c> middle</c><00:00:59.280><c> term</c><00:00:59.680><c> is</c><00:01:00.079><c> 9x,</c><00:01:01.039><c> we</c><00:01:01.280><c> need</c>

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Since the middle term is 9x, we need
 

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Since the middle term is 9x, we need
factors<00:01:01.920><c> of</c><00:01:02.160><c> 18</c><00:01:02.719><c> that</c><00:01:03.039><c> add</c><00:01:03.359><c> to</c><00:01:03.640><c> 9.</c><00:01:04.640><c> Since</c><00:01:05.040><c> 3</c><00:01:05.280><c> and</c>

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factors of 18 that add to 9. Since 3 and
 

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factors of 18 that add to 9. Since 3 and
6<00:01:05.920><c> multiply</c><00:01:06.400><c> to</c><00:01:06.640><c> 18</c><00:01:07.360><c> and</c><00:01:07.760><c> add</c><00:01:08.080><c> to</c><00:01:08.240><c> 9,</c><00:01:09.200><c> we</c><00:01:09.439><c> can</c>

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6 multiply to 18 and add to 9, we can
 

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6 multiply to 18 and add to 9, we can
try<00:01:09.840><c> them</c><00:01:10.080><c> as</c><00:01:10.240><c> the</c><00:01:10.479><c> values</c><00:01:10.799><c> to</c><00:01:10.960><c> fill</c><00:01:11.200><c> the</c>

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try them as the values to fill the
 

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try them as the values to fill the
blanks<00:01:11.600><c> in</c><00:01:11.760><c> the</c><00:01:12.280><c> parenthesis.</c><00:01:13.280><c> Now,</c><00:01:13.600><c> let's</c>

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blanks in the parenthesis. Now, let's
 

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blanks in the parenthesis. Now, let's
multiply<00:01:14.400><c> them</c><00:01:14.560><c> out</c><00:01:14.799><c> to</c><00:01:14.960><c> check.</c><00:01:15.840><c> It</c><00:01:16.080><c> works.</c>

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multiply them out to check. It works.
 

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multiply them out to check. It works.
You<00:01:17.119><c> can</c><00:01:17.280><c> always</c><00:01:17.600><c> check</c><00:01:17.840><c> your</c><00:01:18.080><c> answer</c><00:01:18.320><c> to</c><00:01:18.479><c> a</c>

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You can always check your answer to a
 

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You can always check your answer to a
factoring<00:01:19.200><c> problem</c><00:01:19.520><c> by</c><00:01:19.759><c> multiplying</c><00:01:20.400><c> and</c>

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factoring problem by multiplying and
 

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factoring problem by multiplying and
simplifying.