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Varvara68 [4.7K]
2 years ago
7

F(x)=x^3+10x^2+31x+30

Mathematics
1 answer:
Colt1911 [192]2 years ago
5 0

The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as:-

f(x) = x³ + 10x² + 31x + 30

f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30

f(x) = ( x² + 7x + 10 ) ( (x + 3 )

f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )

f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )

f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )

Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

To know more about Expression follow

brainly.com/question/723406

#SPJ1

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Beethoven wrote 9 symphonies, Mozart wrote 27 piano concertos, and Schubert wrote 15 string quartets. (i) If a university radio
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Answer:

This can be done in 3645 ways

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this problem, we have that:

1 Beethoven symphony, from a set of 9.

1 Mozart concerto, from a set of 27.

1 string quartets, from a set of 15.

So

P_{(9,1)}*P_{(27,1)}*P_{(15,1)} = \frac{9!}{(9-1)!}*\frac{27!}{(27-1)!}*\frac{15!}{(15-1)!} = 3645

This can be done in 3645 ways

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NEED MATH HELP QUICK!
Korolek [52]

Answer:

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

Step-by-step explanation:

<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

<u>Step 4: </u>Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}

Third quartile

\bf{Q_3=\dfrac{48+50}{2}=\dfrac{98}{2}=49}

<u>Step 6:</u> Write down your summary found in the above steps.

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

5 0
4 years ago
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