All categories

2 years ago

Find a polynomial function of lowest degree with

Mathematics

1 answer:

ra1l [238]2 years ago

8 0

Answer:

x^3-4x^2+25x-100

Step-by-step explanation:

We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root

Combining the roots into a polynomial gives us:

(x+5i)(x-5i)(x-4)

Expand:

(x^2 + 25)(x-4)

x^3-4x^2+25x-100

You might be interested in

How does having a different strategy to try when you encounter a roadblock help?

UkoKoshka [18]

Answer:

It always helps to have at least one emergency strategy for each subject because it is easy to just lose focus or not be interested. It can help by getting you back on track or solve a problem.

Step-by-step explanation:

5 0

3 years ago

Convert 3.2 repenting decimal into a fraction

Olenka [21]

$x =3.\bar{2}\\10x = 32.\bar{2}\\\\ 10x - x = 32.\bar{2} - 3.\bar{2}\\9x = 29\\x = \frac{29}{9}\\\\\\ \boxed{\bf{\frac{32}{9} = 3.\bar{2}}}$

7 0

3 years ago

Branson and his sister Beatrice combined their allowance of $7 each, so they could buy a movie for $12. They bought $1 container

Andreyy89

Answer:

Step-by-step explanation:

Branson and his sister Beatrice combined their allowance of $7 each. This means that the total amount they had is 7 + 7 = $14

They bought a movie for $12. The amount that they have left is

14 - 12 = $2

They bought $1 containers of fruit salad with the remaining money and split the containers evenly between them. This means that the number of containers that they bought is

2/1 = 2

If they split the containers evenly between themselves, then each person would get

2/2 = 1 container of fruit salad

6 0

3 years ago

Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.

Yuri [45]

Answer:

Its B.

Step-by-step explanation:

It said so.

3 0

3 years ago

Read 2 more answers

Write the equation of the line shown in point-slope form. (2,1) (3,8)

Ulleksa [173]

<u>Answer:</u>

The line equation that passes through the given points is 7x – y = 13

<u>Explanation:</u>

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ ..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

$(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)$

$(y -8) = \frac{(- 7)}{(-1)}(x-3)$

y – 8 = 7(x – 3)

y – 8 = 7x – 21

7x – y = 21 – 8

7x – y = 13

Hence, the line equation that passes through the given points is 7x – y = 13

3 0

4 years ago