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zavuch27 [327]
2 years ago
8

Find an nth degree polynomial function with real coefficients satisfying the given conditions.

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Step-by-step explanation:

Our roots are 3, and i so our roots form

will be

(x - 3)(x - i)

Since i is one root, it conjugate, must be the other.

so we have

(x - 3)(x - i)(x + i)

Simplify

( {x}^{2}  + 1)(x - 3)

{x}^{3}  - 3 {x}^{2}  + x - 3

So the function is

x {}^{3}  - 3 {x}^{2}  + x - 3

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Find the roots for the above given quadratic equation.<br><br> Please show the working too.
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Step-by-step explanation:

9x^{2} - 9 (a + b)x + 2a^{2} + 5ab + 2b^{2} = 0\\9x^{2} - 3[(3a + 3b)]x + 2a^{2} + 4ab +ab + 2b^{2} = 0\\9x^{2} - 3[(a + 2b) + (2a + b)]x + 2a[a + 2b] + b [a + 2b] = 0\\9x^{2} - 3(a + 2b)x - 3 (2a + b)  + (a + 2b)(2a + b) = 0\\3x [3x - (a + 2b)] -(2a + b)[3x - (a + 2b)]=0\\\:\: [3x - (a + 2b)] - [3x - (2a + b)] = 0\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{2a + b}{3} }}\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{a + 2b}{3} }}

So, the roots are:

<u>1) x = 2a + b/3</u>

<u>2) x = a + 2b/3</u>

_________

Hope it helps!

◇ Please refer to the attachment if the latex code shows some error.

\mathfrak{Lucazz}

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A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 6 pizzas. The ca
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Answer:

Step-by-step explanation:

e caterer also estimates that each party guest will eat 1/3 of a pizza. ... arrenhasyd and 2 more users found this answer helpful ... Part of pizza will eat by each party guest is given by. \frac{1}{3}. As we have given that a caterer prepares 3 times as many pizzas as she usually prepares for a large party,.

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Will give brainliest answer What is the value of a21? A.36 B. 58 C.60 D. 41
Strike441 [17]

Answer:

41

Step-by-step explanation:

Matrix Multiplication follows a row-column format. In order to compute this, you must be familiar with vector dot products.

With that in mind, lets get straight into it.

The order that matrix multiplication follows means that the terms in the result are filled in left to right, then top to bottom.

Therefore, a21 will be the 3 value that is computed. This is important becuase this allows to directly compute a21, instead of using up a lot of time computing all the values before.

As a21 is located in the bottom row 1st column, we take the dot product of the 2nd row in matrix 1 and the 1 column in matrix two.

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What is the total cost of a $75.00 item with a sales tax of 4%?
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Step-by-step explanation: Hope it helps

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