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lesya [120]
3 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]3 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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15.465 to the nearest hundrenth
mart [117]

Answer:

15.47

Step-by-step explanation:

Since the four is in the hundrenths place you use the digit to the right of it, and if the number is greater than 5 you add one more. Thus the answer being 15.47

5 0
3 years ago
What is the Answer to these math problem x over 5 = 2<br> please HELP ME !!! and Thank you
Monica [59]

Answer:

x = 10

Step-by-step explanation:

x / 5 = 2

multiply the equation by 5

x = 10

8 0
3 years ago
Ten boys share 7 granola bars. what fraction does each boy get​
romanna [79]

Answer:

the Fraction is 1 \frac{43}{100}

Step-by-step explanation:

  • We divide 10 by 7 and we get 1.43 (simplest form)
  • then we transform it to a fraction and get  1 \frac{43}{100} ( also \frac{143}{100})
6 0
3 years ago
What is 4x=12? I'm really confused and I don't know how to solve it. :(
Virty [35]

X=3

First, divide both equation sides by 4

Next, divide the values

X=3 :)

7 0
3 years ago
Read 2 more answers
Given y=(2x+3)2, choose the standard form of the given quadratic equation
katrin2010 [14]

y=(2x+3)^2 = 4x^2 +12x +9

Taking 4 out from first two terms, we will get

y=4(x^2+3x)+9

Now we divide the coefficient of x by 2 and add and subtract the square of the result, we will get

y=4(x^2+3x+\frac{9}{4}-\frac{9}{4})+9

Distributing 4

y=4(x+\frac{3}{2})^2+9-9

Cancelling 9

y=4(x+\frac{3}{2})^2

And that's the required standard form.

5 0
4 years ago
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