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8_murik_8 [283]
3 years ago
13

19/10 rational or irrational ?

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.


19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

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Step-by-step explanation:

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Answer:

<u>Potential roots:</u>  \frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1

Step-by-step explanation:

Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form

±  \frac{FactorsOfa_{0}}{FactorsOfa_n}

Where

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<em>From the polynomial shown, we have a_n = 9 and a_0 = 4</em>

<em />

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<em>and</em>

<em>The factors of 4 are 4,2,1</em>

<em />

So, if there are any rational roots, they would be:

±  \frac{FactorsOfa_{0}}{FactorsOfa_n}

±  \frac{9,3,1}{4,2,1}

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or

\frac{9}{4},\frac{9}{2},9,\frac{3}{4},\frac{3}{2},3, \frac{1}{4},\frac{1}{2},1

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Read 2 more answers
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