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evablogger [386]
3 years ago
7

50 points!!! Factor completely 3n^4+21n^3+27n^2 Please show work!!

Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

3n^2(n^2+7n+9)

Step-by-step explanation:

Find the common factor. In this case, it is 3n^2. Take out the common factor of the integers.

So, therefore it is

3n^2(n^2+7n+9)

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Answer: The system of equations is:

x + 2y + 2 = 4

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The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
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For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

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               z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

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