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Ivan
3 years ago
11

How to find the number of complex roots of a polynomial.

Mathematics
1 answer:
alexira [117]3 years ago
4 0

If the polynomial has Real coefficients

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Quadrilateral P'Q'R'S' is a dilation of the quadrilateral PQRS, with the origin as the center of dilation.
liraira [26]

Answer:

The rule used to create this dilation is 0.5

Step-by-step explanation:

5 0
3 years ago
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explain how proving two triangles congruent can help prove parts of the triangle congruent will do branliest
AleksAgata [21]

How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are  located in the right place.

SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.

ASA where the S (side) is common to both the two given angles.

SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.

In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.

If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.

You can also use the two sides making up the right angle but that is a special case of SAS.

Answer

There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.

Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.

5 0
3 years ago
Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =
kykrilka [37]

Answer:

P(x)=(x-2i)(x-3i)

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

P(x)=a(x-x1)(x-x2)...(x-xn)

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

P(x)=1(x-2i)(x-3i)

\mathbf{P(x)=(x-2i)(x-3i)}

8 0
3 years ago
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ali goes for cycle ride. he starts at 3pm . he finished at 5 38pm .he has a total of 25 minutes rest during the ride. how long h
nordsb [41]

Answer:

two hours and thirteen minutes.

Step-by-step explanation:

count up from 3pm to 5pm to start with. That gives you two hours

we already have 38 minutes, now just subtract the 25 minutes he spent resting.

That leaves you with 2 hours and 13 minutes.

Correct me if I'm wrong I'm currently responding to this at a major lack of sleep lol

4 0
2 years ago
Find the missing side. Round to the nearest tenth. <br>A.7.1<br>B.5.1<br>C.5.1 <br>D.6.1​
Stels [109]

Answer:

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

.....

7 0
3 years ago
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