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oee [108]
3 years ago
5

Write a polynomial f(x) that meets the given conditions. Answers may very

Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

The polynomial is: f(x)=x^3-2x^2-23x+60

Step-by-step explanation:

We need to write a polynomial f(x) that meets the given conditions: Degree 3 polynomial with zeros 3,-5,4

Since zeros are at 3,-5 and 4

So, x=3, x=-5 and x=4

or:

x-3=0, x+5=0 and x-4=0

Multiplying all factors to find the polynomial:

(x-3)(x+5)(x-4)=0\\(x(x+5)-3(x+5))(x-4)=0\\(x^2+5x-3x-15)(x-4)=0\\(x^2+2x-15)(x-4)=0\\x(x^2+2x-15)-4(x^2+2x-15)=0\\x^3+2x^2-15x-4x^2-8x+60=0\\x^3+2x^2-4x^2-15x-8x+60=0\\x^3-2x^2-23x+60=0

So, the polynomial is: f(x)=x^3-2x^2-23x+60

keywords: Factors and zeros of polynomial

Learn more about Factors and zeros of polynomial at:

  • brainly.com/question/2568692
  • brainly.com/question/1332667
  • brainly.com/question/1357167

#learnwithBrainly

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Help!<br><br> P = Perimeter<br><br> Thanks
murzikaleks [220]

perimeter means to add up all the number around a surface so you are correct the answer is 12 because you are suppose to add up everything around the object so 7+5 which gives you 12

6 0
3 years ago
R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m∠R = 60, m∠S = 80, m∠F = 60, m∠
Vladimir79 [104]
The correct answer is in file attached  
<span>we have<span>
</span>triangle RST<span>
</span><span>m∠R = 60, m∠S = 80  and m∠T=180-(80+60)=40</span></span>
<span>RS=4<span>
</span>triangle EFD<span>
</span><span>m∠F = 60, m∠D = 40  and m∠E=180-(60+40)=80</span></span>
EF=4  
Therefore
  <span>The triangles RST<span>  and </span>EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
Side common--------> RS=EF
<span>Angles RS------------- > m∠<span>R = 60  m</span>∠S = 80 </span>
<span>Angles EF------------- > m∠<span>E = 80  m</span>∠F = 60 </span>    

<span>The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.</span>

7 0
4 years ago
Read 2 more answers
Margareta is selling freshly baked cookies at 50¢ a cookie, and $2.00 for a pack of 5 cookies. Nathan is selling freshly picked
Ratling [72]

Answer:  Nathan has a proportional relationship between cost and item

Step-by-step explanation:

Using Margareta's statement we will say that if you buy 1 cookie you pay 50 cents and if you by 5 cookies you will pay $2

To find out how much you will pay for one cookie by using the 5 cookies $2 statement we will divide  2 by 5

2/5 = 0.4   which means you pay 40 cents for 1 cookie and that is not equivalent to paying 50 cents per cookie so Margereta method is not proportional.

Nathan sells freshly picked strawberries for $2 per pound and $10 for 5 pounds.  Now we want to know how much you have to pay per pound if you were to buy 5 pounds to $10 .

Divide 10 by 5 to find out how much you will pay per pound.

10/5 = 2    

So Nathan is selling his strawberries at a proportional rate which is $2 per pound.

8 0
3 years ago
You work for a poster company that sells prints of album covers. You sell posters at the prices given in the table.
Allisa [31]

Answer:

Option A is the best deal for posters

6 0
3 years ago
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Ray has an odd number of cats. he also has an even number of dogs.
adell [148]
Their sum would be of odd number....
6 0
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