-30p^3+8p^2+8p factor completely?
回答 (7)
2010-02-18 4:52 pm
✔ 最佳答案
-30p^3 + 8p^2 + 8p= -p(30p^2 - 8p - 8)
= -2p(15p^2 - 4p - 4)
= -2p(15p^2 + 6p - 10p - 4)
= -2p[(15p^2 + 6p) - (10p + 4)]
= -2p[3p(5p + 2) - 2(5p + 2)]
= -2p(5p + 2)(3p - 2)
2010-02-19 12:34 am
First of all, look for a common factor. In this case, there is one and it's -2P.
Now, take -2P(15P^2 - 4P - 4). But, you can still factor what's in parentheses as follows:
(3P - 2)(5P + 2) Now don't forget you can't just abandon the original common factor, -2P. To complete this you simply arrange the problem like so:
Answer: -2P(3P - 2)(5P + 2)
**TIP** ALWAYS go back and check your work by multiplying. It only takes a few seconds and it will help you catch careless errors that we all make. If you follow the order of operations multiply the answer above you will find that you end up with the original equation.
Now, take -2P(15P^2 - 4P - 4). But, you can still factor what's in parentheses as follows:
(3P - 2)(5P + 2) Now don't forget you can't just abandon the original common factor, -2P. To complete this you simply arrange the problem like so:
Answer: -2P(3P - 2)(5P + 2)
**TIP** ALWAYS go back and check your work by multiplying. It only takes a few seconds and it will help you catch careless errors that we all make. If you follow the order of operations multiply the answer above you will find that you end up with the original equation.
2010-02-19 12:27 am
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2010-02-19 12:19 am
-30p³ + 8p² + 8p = -2p(15p² - 4p - 4)
p = [-(-4) ± â((-4)² - 4(15)(-4))] / (2·15)
   = [4 ± â(256)] / 30
   = [4 ± 16] / 30
   = 12/30, 20/30
   = -0.4, â
-30p³ + 8p² + 8p = -2p(15p² - 4p - 4)
= -2p·15(p+0.4)(p-â )
= -2p(5p+2)(3p-2)
= 2p(2+5p)(2-3p)
p = [-(-4) ± â((-4)² - 4(15)(-4))] / (2·15)
   = [4 ± â(256)] / 30
   = [4 ± 16] / 30
   = 12/30, 20/30
   = -0.4, â
-30p³ + 8p² + 8p = -2p(15p² - 4p - 4)
= -2p·15(p+0.4)(p-â )
= -2p(5p+2)(3p-2)
= 2p(2+5p)(2-3p)
2010-02-19 12:18 am
Hi there
How about 2p ( –5p – 2 ) ( 3p – 2 )
âº
How about 2p ( –5p – 2 ) ( 3p – 2 )
âº
2010-02-19 12:15 am
remove greatest common factor by putting it outside the parenthesis:
2p (-15p^2 + 4p + 4)
now factor out (-15p^2 + 4p + 4):
(-3p + 2) (5p + 2)
2p (-15p^2 + 4p + 4)
now factor out (-15p^2 + 4p + 4):
(-3p + 2) (5p + 2)
收錄日期: 2021-05-01 13:02:21
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