All categories

2 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

Step-by-step explanation:

To get the equation, you must create the factors containing the roots.

So for example the first set of roots can be produced from

(x -2)(x^2 + 9)

which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives

x^3 -2x^2 + 9x - 18

The second one is a bit more difficult to judge.

-5 and -3+ square root(2)

I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)

You might be interested in

Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki

astra-53 [7]

Answer:

Step-by-step explanation:

Equation : 165 = 102 + 1.4K

Define: K is # of kilometers

Solve: 63 = 1.4k, so k = 45

Final answer: 45 kilometers

7 0

2 years ago

A book has 55 pages with pictures and 45 pages without pictures, which ratio relationship is shown by the pages in the book?

suter [353]

Answer:

11 pages with picture to every nine pages without pictures. or 11 per every 9

Step-by-step explanation:

divide each number by a common denominator, in this case 5, to get a change from 55 per every 45 to 11 per every 9.

8 0

3 years ago

I need the answers to these questions please people on here?

Effectus [21]

2. 225
4. 25/36
6. 0.001
8. 8-20=-12
10. 34-16=18
12. 15/5=3^3=27
14. ?? confused...
16. 8
18. 11.5+4=15.5
20. 3(225)+10=675+10=685

6 0

3 years ago

19, 25, 31, 37 What’s the 52nd term?

grin007 [14]

All you have to do is find the rule, the rule for this is 6 so just multiply 3 times 52 and add 19, your answer is 175

6 0

3 years ago

Help now. a storage tank in the shape of a cuboid of base 2.5 m by 2 m can hold up to 7500 litres of water. Calculate the height

Minchanka [31]

Answer:

Height of the tank is 1.5m

Step-by-step explanation:

Given

Shape: Cuboid

Base Dimension = 2.5m by 2m

Volume = 7500 litres

Required

Determine the height of the tank

First, the area of the base has to be calculated;

$Area = 2.5m * 2m$

$Area = 5.0m^2$

Next is to calculate the height using volume formula;

$Volume = Area * Height$

Recall that Volume = 7500L [Convert to m³]

$1 L = 0.001m^3$

So;

$7500L = 7500 * 0.001m^3$

$7500L = 7.5m^3$

Hence;

$Volume = 7.5m^3$

Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula

$Volume = Area * Height$

$7.5m\³ = 5.0m\² * Height$

Divide both sides by 5.0m²

$\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}$

$\frac{7.5m\³}{5.0m\²} = Height$

$1.5m = Height$

$Height = 1.5m$

<em>Hence, the height of the tank is 1.5m</em>

5 0

3 years ago

Write a polynomial function of least degree with integral coefficients that has the given zeros. ​

Write a polynomial function of least degree with integral coefficients that has the given zeros.