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lesya [120]
2 years ago
13

Write a polynomial f(x) that satisfies the given conditions, Express the polynomial with the lowest possible leading positive in

teger coefficient
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-8i and 0 (multiplicity 4).
Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

9514 1404 393

Answer:

  f(x) = x^6 -10x^5 +89x^4

Step-by-step explanation:

For a given zero p with multiplicity n, one of the factors of the polynomial will be (x -p)^n. If the polynomial has real coefficients, then the complex zeros come in conjugate pairs.

The factored form of your polynomial is ...

  f(x) = (x -(5 -8i))(x -(5 +8i))(x -0)^4

  f(x) = ((x -5)^2 -(8i)^2)(x^4) = (x^2 -10x +89)(x^4)

  f(x) = x^6 -10x^5 +89x^4

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Write each decimal as a fraction in lowest terms <br><br> 0.255
Vesnalui [34]

Answer:

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200

6 0
1 year ago
20 points helppppp which pair shows equivilent fractions
skelet666 [1.2K]

Answer:

Third

Step-by-step explanation:

First would be, simplified, 2x+10=2x-10

Second, simplified, -2x-10=2x-10

Third, simplified, -2x-10=-2x-10

Fourth, simplified, -2x+10=2x-10

So it's third :)

hope this helps :D

4 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form for the line with slope 4/3 and -3 intercept .
mojhsa [17]

Answer:

The equation would be y = 4/3x - 3

4 0
2 years ago
Graph the system of equations.<br><br> {2x - y =4<br> {x - y = -2
Mnenie [13.5K]

Answer:

See attachment

Step-by-step explanation:

The given system is

2x-y=4

x-y=-2

We write the system in slope-intercept form:

y=2x-4

y=x+2

The first equation has slope of 2 and y-intercept at (0,-4)

When y=0, x=2.

We plot (0,-4) and (2,0) to graph this first equation.

The second equation has a slope of 1 and a y-intercept at (0,2)

Also when y=0, x=-2.

We plot (0,2) and (-2,0) and draw a straight line through them.

The graph of the system is shown in the attachment.

7 0
3 years ago
Yesenia buys water to make tea for all her friends. She buys 1 qurt of water and 1/2 gallon of water. How many cups of water doe
Lina20 [59]

Answer:

12 cups of water

Step-by-step explanation:

This question has to do with conversion

We are told that she buy 1 quart and 1/2 gallon of water.

Hence,

1 quart of water = 4 cups of water

1 gallon of water = 16 cups of water

1/2 gallon of water = x

Cross Multiple

x = 1/2 × 16 cups of water

x = 8 cups of water.

Therefore, the total cups of water that she bought = 4 cups of water + 8 cups of water = 12 cups of water

6 0
2 years ago
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