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mel-nik [20]
2 years ago
7

Use the GCF of the terms to write the expression as the product of two factors with integer coefficients.

Mathematics
1 answer:
Alchen [17]2 years ago
7 0
The greatest common factor (GCF) is determined by finding the greatest factor that would simplify all the terms of the equation the most. 

For the equation -2x³ - 4x² + 4x
The common factor for the coefficients -2, -4 and 4 is -2, since all of them are divisible by -2.
The common factor for the variables x³, x² and x is x, since all of them are divisible by x.

Then, the GCF would be -2x. We use this to simplify the equation:

-2x(x² + 2x -2)
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Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 =   (x/3)*x - 2   =  (x^2)/3 - 2     (*)

1 \3x - 4   =  (1/3)x - 4                               (**)

(*) = (**)   =>

(x^2)/3 -2 = (1/3)x - 4        => multiply both sides by 3

x^2 - 6 = x - 12                 => subtract x from both sides

x^2 -x -6 = -12                   => add 12 to both sides

x^2-x +6  = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

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Which simplified fraction represents 0.45
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