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Viefleur [7K]
3 years ago
14

What are the possible rational zeros of f(x) = 3x4 + x3 − 13x2 − 2x + 9?

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
Rational roots theorem states that any rational root will be a factor of the constant over a factor of the leading coefficient. 
The given equation is: f(x) = 3x^4 + x^3 - 13x^2 - 2x + 9. In this case, it is a factor of 9 over a factor of 3. 

Factors of 9: ±1, ±3, ±9 
Factors of 3: ±1, ±3 

So possible rational roots are: ±1, ±3, ±9, ±1/3
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Answer:

We want to write an inequality with the points (3, 78), (0, 312) and (5, 10) as solutions.

Then the set of the x-values is {0, 3, 5}

The set of the y-values is {10. 78. 312}

So if we wrote an inequality like:

y > 5

It would include all these solutions, because:

10 > 5

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And this has no restriction on the x-variable, so all the x-value range can be a solution, meaning that the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

Another one (also trivial) can be:

x < 9

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3 < 9

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2 years ago
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Answer:

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7 0
2 years ago
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Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.
azamat

Answer:

1.4

Step-by-step explanation:

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2 years ago
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