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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
5. A solid has a circle of radius r as its base. All sections of the solid perpendicular to the diameter along the x-axis are is
AleksandrR [38]

Answer:

 \frac{16r^3}{3}

Step-by-step explanation:

In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).

\int\limits^r_a {2(x^2+r^2 )} \, dx

The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.

Evaluating the integral gives use that it is equal to;

\frac{16r^3}{3}

Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.

If you found this answer helpful please consider leaving 5 stars, giving it a like, or if you asked this question, mark this answer as Brainliest. Thanks!

4 0
2 years ago
Thaddeus models the number of hours of daylight in his town as
AfilCa [17]

Option (A) :  least: 10 hours; greatest: 14 hours

The function f(x) = sin x has all real numbers in its domain, but its range is

−1 ≤ sin x ≤ 1.

How to solve such range questions?

Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question

Given: d(t) = 2sin(xt) + 12

=  −1 ≤ sin (xt) ≤ 1.

=  −2≤ 2 sin (xt) ≤ 2.

=  10 ≤ 2sin (xt) + 12 ≤ 14

=   10 ≤d(t) ≤ 14

Thus  least: 10 hours; greatest: 14 hours

Learn more about range of trigonometric ratios here :

brainly.com/question/14304883

#SPJ4

6 0
2 years ago
I need help finding out what AC is!!
iragen [17]
I think it’s b.5. Hope this helps. :)
5 0
3 years ago
Read 2 more answers
What’s the <br> hundreds in a<br> the number<br> 44,813?
Aliun [14]
8 because it goes from 1s 10s 100s so 8 is the answer
5 0
2 years ago
How many solutions are there to the equation 11x+25=7x+15
makkiz [27]
Just one 11x+25=7x+15 11x - 7x = 15 -25 4x = -10 x = -10/4 x = -5/2
3 0
3 years ago
Read 2 more answers
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