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Deffense [45]
3 years ago
13

Complete factorization of x^3 - 4x^2 + x - 4

Mathematics
2 answers:
zalisa [80]3 years ago
7 0

Answer:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Step-by-step explanation:

Hope this helped have an amazing day!

Pachacha [2.7K]3 years ago
3 0

Step-by-step explanation:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.

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Find the solution to the system 4x - y = -12 and -x - y = 3
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Answer:

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Step-by-step explanation:

Solve the following system:

{4 x - y = -12 | (equation 1)

-x - y = 3 | (equation 2)

Add 1/4 × (equation 1) to equation 2:

{4 x - y = -12 | (equation 1)

0 x - (5 y)/4 = 0 | (equation 2)

Multiply equation 2 by 4/5:

{4 x - y = -12 | (equation 1)

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Multiply equation 2 by -1:

{4 x - y = -12 | (equation 1)

0 x+y = 0 | (equation 2)

Add equation 2 to equation 1:

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Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

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Collect results:

Answer: {x = -3 , y = 0

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