Based on the Rational Zero Test, which of the following is
NOT a possible zero of f(x) given below after the reciprocal
of LCD is factored out?

f(x)=x^3 -5x + (2/5)

(A) 1/2
(B) 1/5
(C) 1
(D) -1

Answers

Answer 1

The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.

(a) 1/2 is not a possible zero of the function

The function is given as:

[tex]f(x) =x^3 - 5x + \frac 25[/tex]

For a function,

[tex]f(x) = px^n +......q[/tex]

The list of possible roots is:

[tex]Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

Multiply both sides of [tex]f(x) =x^3 - 5x + \frac 25[/tex] by 5

[tex]5f(x) = 5x^3 - 25x + 2[/tex]

So, we have:

[tex]p= 5[/tex]

[tex]q = 2[/tex]

The factors are:

[tex]p =\pm 1, \pm 5[/tex]

[tex]q =\pm 1, \pm 2[/tex]

So, the possible roots are:

[tex]Roots = \pm\frac{1,2}{1,5}[/tex]

Split

[tex]Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}[/tex]

Hence, 1/2 is not a possible zero of the function

Read more about rational zero test at:

https://brainly.com/question/12860313


Related Questions

which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)​

Answers

Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

+- = --- = ++- = -++ = +

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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I = the length of the fabric

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-103

Step-by-step explanation:

Just subtract

Answer:

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Step-by-step explanation:

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Answers

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Doubt clarification - use comment section.

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Answers

The simplified form of the given expression is [tex]5\sqrt{2}[/tex].

Given expression,

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Answers

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Answers

Answer:

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Answers

The equation that represents the line that is perpendicular is

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[tex]y-y_1=m(x-x_1)[/tex]

m is the slope of the lne(x1, y1) is any point on the line.

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Answer:

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Step-by-step explanation:

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Answers

First convert the percentage to decimal

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Answer:

14.69

Step-by-step explanation:

22.6% = 0.226

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EASY QUESTION! GET EASY POINTS!

if i paid $3.50 a month, how much would i pay a year?

EASY BRAINLIEST!
yw:)

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Answer:You will pay $42 yearly. Step-by-step explanation:1 Year = 12 months=> 1 month = $3.50=> 12 months = $3.50 x 12=> 12 months = $42Conclusion:

Therefore, you will pay $42 after a year.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Answer:

42

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Orlando to Denver was ​$220 . Now the cost is ​$320 . What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

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Answer:

The answer is

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1.);

Going by 10.

220 + 15.5% = 254.1 (Incorrect, not what were looking for)

220 + 25.5% = 276.1 (Incorrect, not what were looking for)

220 + 35.5% = 298.1 (Incorrect, not what were looking for)

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2.);

220 + 45.5% + 50 = 370.1

I hope this helped.. Have an amazing day!

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Answers

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Step-by-step explanation:

Answer:

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