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Naily [24]
3 years ago
6

4x+4=2/3 (3x +9) - 18 solve for x

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

 =  − 8

Step-by-step explanation:

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If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
Which is the graph of f(x)=2(3)x​
larisa86 [58]

Answer:A 1st graph

Step-by-step explanation:

4 0
3 years ago
Please help thank you very much
Tom [10]

Answer:

4x^{2} -6x

Step-by-step explanation:

3 0
3 years ago
The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dol
Harlamova29_29 [7]
$268.00 base price
8% is $21.44
Total with tax $289.44
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2 years ago
What is the average daily temperature for all ten years?<br> ____ degrees
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the average is 53.6

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3 years ago
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