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Kitty [74]
4 years ago
15

Write a function with the given characteristics:

Mathematics
1 answer:
elena-s [515]4 years ago
7 0

Answer:

If polynomial with rational coefficients has root 3 –i, it also has a root 3 + i (complex conjugate). The example of polynomial with roots 3, 3, 3 –i, 3 + i is (x−3)2(x−(3−i))(x−(3+i))=(x−3)²(x−6x+10)=x4−12x3+55x2−114x+90.

Step-by-step explanation:

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See attached picture, is there a way to enter equations or algebraic symbols?
coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}

(A)

\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}

(B)

\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}

(C)

\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}

(D)

\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}

5 0
1 year ago
Mrs rodriguez needs you to calculate the AREA of a circular pool with radius of 5 meters to help her figure out if it will fit i
Mila [183]
The formula for an area of a circle is A= pi(r)^2
so if you plug in 5 to r (because it’s the radius) you should get A= 78.5
3 0
4 years ago
What can be concluded about the sphere? Check all that apply. The sphere has a radius of 10 cm. The diameter measure is substitu
MA_775_DIABLO [31]

Answer: Its C and E on engenuity

Step-by-step explanation:

The radius is half the diameter.

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

4 0
3 years ago
Read 2 more answers
What is the missing reason in the proof?
Tresset [83]
A. segment addition
3 0
2 years ago
Look for Patterns Find the missing numbers in the following pattern. 1,3,9, .81 .​
ehidna [41]

Answer:

27 after 81 is 243

Step-by-step explanation:

The pattern is that you multiply 3 each time.

5 0
3 years ago
Read 2 more answers
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