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Cerrena [4.2K]
3 years ago
11

In 2007, a census counted 2815 of a certain animal. This was 315 fewer than the number counted in 2006. What was the population

of the animal in 2006?
The population of the animal in 2006 was
(Simplify your answer.)
Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer: 3,130

Step-by-step explanation: 2,815 + 315 = 3,130

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The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have

\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3

Finally, we can factorize the remaining quotient easily:

x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)

so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .

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