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Phoenix [80]
2 years ago
15

Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

ossible rational zero is an integer . Is your friend correct ? Explain your reasoning.
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>
  • It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format \frac{p}{q}.

In this problem:

  • The leading coefficient is 1, hence it's only factor is q = 1, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

You might be interested in
Can someone help pls!!!
natita [175]
Answer: 42.14 cm^2

square:

Area of a square=s^2
A=14^2
A=196

circle (the two semi circles are the same as one circle):

Area of a circle=(pi)(r)^2

divide 14 (diameter) by 2 to find the radius

A=(3.14)(7)^2
A=(3.14)(49)
A=153.86

subtract the area of the two semi circles from the area of the square to get the answer

196-153.86=42.14
3 0
3 years ago
Using radicals , write an equivalent expression for the expression y 1/5
Nutka1998 [239]
Hope there are y^(1/5) so than this mean 5 index radical of y 

hope helped 
3 0
3 years ago
A report includes a statement that the​ "average" test score of applicants to medical schools is 28.4. What is the role of the t
qaws [65]

Answer:

See explanation below.

Step-by-step explanation:

The average is measure of central tendency that is also called sample mean and is calculated from the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:

E(\bar X)=\frac{\sum_{i=1}^n E(X_i)}{n} =\frac{n\mu}{n}=\mu

And is important because is the most common measure of central tendency reported on any study.

Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency

7 0
3 years ago
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
schepotkina [342]

Answer:

a. The function is increasing for all real values of x where  x < –4.

Step-by-step explanation:

Let me help you, I have answered this question once in Brainly as well

Given the factored form of the function:

f(x) = -(x + 6)(x+2)

<=> f(x) = -x^{2} - 8x -12

We will convert to vertex form

f(x) = -(x+4)^{2} + 4

Let analyse other possible answers:

<u>a. The function is increasing for all real values of x where  x < –4.</u>

True, because  the parameter a = - 1 so the graph open down all over its domain

<u>b. The function is increasing for all real values of x where  –6 < x < –2.</u>

Wrong, the function decrease in the interval from –4.< x < -2

<u>c. The function is decreasing for all real values of x where  x < –6 and where x > –2.</u>

Wrong, the function increase in the interval from -6 < x < -4

<u>d. The function is decreasing for all real values of x where  x < –4.</u>

Wrong,  The function is increasing  for all real values of x where  x < –4.

7 0
3 years ago
Read 2 more answers
Rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x)
omeli [17]
I hope this helps you

5 0
3 years ago
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