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OpenStudy (anonymous):
anyone good at synthetics? from alg 2 Help anyone?
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OpenStudy (anonymous):
please help me
jimthompson5910 (jim_thompson5910):
do you have a specific question?
OpenStudy (anonymous):
ya its (2t^2+13t+15) divided by (t+5)
jimthompson5910 (jim_thompson5910):
Start by writing out the coefficients in a table and write the test root (-5) off to the left like this
-5 | 2 13 15
|
------------------------------
jimthompson5910 (jim_thompson5910):
Pull down the first coefficient 2
-5 | 2 13 15
|
------------------------------
2
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jimthompson5910 (jim_thompson5910):
Multiply the test root (-5) with 2 to get -10, write this under the 13
-5 | 2 13 15
| -10
------------------------------
2
OpenStudy (anonymous):
i did that
jimthompson5910 (jim_thompson5910):
Add 13 to -10 to get 3. Write this under the -10
-5 | 2 13 15
| -10
------------------------------
2 3
jimthompson5910 (jim_thompson5910):
Repeat the last two steps
-5 | 2 13 15
| -10 -15
------------------------------
2 3 0
jimthompson5910 (jim_thompson5910):
The last line is 2 3 0
so (2t^2+13t+15) divided by (t+5) = 2t+3 remainder 0
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jimthompson5910 (jim_thompson5910):
Since the remainder is 0, t+5 is a factor of 2t^2+13t+15
ie
2t^2+13t+15 = (t+5)(2t+3)
OpenStudy (anonymous):
ok thanks
jimthompson5910 (jim_thompson5910):
np
OpenStudy (anonymous):
can you help me with a few more problems if i get stuck?
jimthompson5910 (jim_thompson5910):
sure just a few though
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OpenStudy (anonymous):
ok thanks
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