Solve the polynomial equation by factoring. 3x^4+11^3-4x^2=0

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Sidana [21]3 years ago

5 0

Step-by-step explanation:

$3{x}^{4} + 11 {x}^{3} - 4 {x}^{2} = 0 \\ factor \: {x}^{2} out \: of \: 3 {x}^{4} + 11 {x}^{3} - 4 {x}^{2} \\ \\ {x}^{2} ( 3{x}^{2} + 11x - 4) = 0 \\ {x}^{2} (3x - 1)(x + 4) = 0 \\ {x}^{2} = 0 \\ 3x - 1 = 0 \\ x + 4 = 0 \\$

$x = 0 \\ x = \frac{1}{3} \\ x = - 4 \\$

The final solution is

x=(0 , 1/3 , -4 )

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DochEvi [55]

Answer:

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This tells us that:

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Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

$c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$ .

So we want to find a way to express this as:

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So we can write this as:

$\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

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3 years ago

What was the total production of gasoline and kerosene combined (in Barrels)

Elina [12.6K]

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