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Aleks [24]
2 years ago
11

Given the polynomial 6x3 + 4x2 - 6x - 4, what is the value of the coefficient 'k' in the factored form?

Mathematics
2 answers:
oksano4ka [1.4K]2 years ago
7 0
6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =
= ( 3 x + 2 ) ( 2 x² - 2 ) =
= 2 ( 3 x + 2 ) ( x² - 1 ) =
= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 ) 
Answer: k = 1
Taya2010 [7]2 years ago
5 0

6 x³ + 4 x² - 6 x - 4 = 2 x² ( 3 x + 2 ) - 2 ( 3 x + 2 ) =

= ( 3 x + 2 ) ( 2 x² - 2 ) =

= 2 ( 3 x + 2 ) ( x² - 1 ) =

= 2 ( x + 1 ) ( x - 1 ) ( 3 x + 2 )

Answer: k = 1

hope this helps!!!

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6 - 34 + 96 - 384 +... 
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This is a sum of a geometric sequence:
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Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
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