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nadya68 [22]
3 years ago
11

Fourth degree and a single zero of -3

Mathematics
1 answer:
Darya [45]3 years ago
3 0

The degree of a polynomial is the highest power of the polynomial.

The polynomial is \mathbf{P(x) = (x + 3)^4}

The degree is given as:

\mathbf{n = 4}

The zero is given as:

\mathbf{x = -3}

Add 3 to both sides

\mathbf{x  + 3= 0}

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

\mathbf{P(x) = (x + 3)^n}

Substitute 4 for n

\mathbf{P(x) = (x + 3)^4}

Hence, the polynomial is \mathbf{P(x) = (x + 3)^4}

Read more about polynomials at:

brainly.com/question/11536910

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In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls
mezya [45]

Answer:

80730

Step-by-step explanation:

The answer is c(27,5)=27*26*25*24*23/5!. Here is why.

Let us solve a simpler problem. In how many ways 25 identical balls can be placed in six distinct urns such that no urn is empty?

25 balls in a row make 24 places for five dividers, so the answer is c(24,5).

2. Next problem. In how many ways 50 identical balls can be placed in six distinct urns such that no urn is empty and each urn contains even number of balls.

We group 50 balls in 25 pairs, so the answer is the same as in the previous problem which is

c(48/2,5)=c(24,5).

Let us denote the content of each urn as

u(1),u(2),…u(6). Note that each u(i) is even. Denote u(i) as u(i)=2k(i) where k is a natural number. We have

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=50.

3. Now let us proceed to the original problem where odd number of balls in each urn is required.

We have

2k(1)-1+2k(2)-1+2k(3)-1+2k(4)-1+2k(5)-1+2k(6)-1=50 or

2k(1)+2k(2)+2k(3)+2k(4)+2k(5)+2k(6)=56.

So the original problem reduces to previous problem where even number of balls in each urn is required but the total number of balls is 56 instead of 50.

Its answer is c(54/2,5)=c(27,5).

8 0
2 years ago
A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply. It is unlikely the
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Answer:

A,D,E

Step-by-step explanation:

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4 0
3 years ago
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For Greta's birthday party, her parents ordered 6 pizzas. If they cut the pizzas into sixths, how many pieces will there be? Cho
saw5 [17]

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

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= 36 pieces of pizza

4 0
3 years ago
Day, everything at a store is on sale. The store offers a 20% discount.
Nutka1998 [239]

Answer:

$14.40

Step-by-step explanation:

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Estimate 76.216+66.36 by first rounding each number to the nearest whole number.
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Answer:

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Step-by-step explanation:

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  • Then ADD

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3 years ago
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