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Naddik [55]
3 years ago
10

One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
sesenic [268]3 years ago
3 0

Answer:

Option C is correct.

Step-by-step explanation:

Given polynomial : x³ - 5x²

Factors of given polynomial = x + 3

Let, p(x) = x³ - 5x²

To get other factor of p(x), we divide p(x) by given factor.

On division we get,

Quotient = x² - 8x + 24

Remainder = -72

So another factor is x^2-8x+24-\frac{72}{x+3}

Therefore, Option C is correct.

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Find<br>a,b<br>such<br>that 7.2, a, b, 3 are in A.P.​
leonid [27]

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
4 0
3 years ago
A company sells its printers to customers in order to make a profit of 25% calculate the price the company paid for a printer wh
ioda

The company paid $2000 for the printer

Step-by-step explanation:

Let x be the price of the printer for which the company bought it.

If x is the price of printer, then 25% of x will be the profit made by the company.

That is:

0.25x

According to the statement,

The cost and profit earned by company are equal to 2500

So,

x+0.25x = 2500\\1.25x = 2500

Dividing both sides by 1.25

\frac{1.25x}{1.25} = \frac{2500}{1.25}\\x = 2000

Hence,

The company paid $2000 for the printer

Keywords: Percentage, Profit

Learn more about percentage at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

7 0
3 years ago
Textbooks are exempted from PST in Ontario. If the total cost of a book
Andrei [34K]

Answer:

4.24

Step-by-step explanation:

Total price = price of the book + 5% of the price of the book

T = total price   P = price of the book G = GST

T = P + G

and

G = 5% of P = 0.05P

therefore

T = P + 5%P = 1P + 0,05P = 1.05P

P = T/1.05 = 89/1.05 ≅ 84.76 (it is 84.7619047619)

G = 89 - 84.76 = 4.24

8 0
3 years ago
Solve the given equation <br> 7/10X=4 3/5
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Answer:

x

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Step-by-step explanation:

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5z+2z^3+3z^4 in standard form
julia-pushkina [17]

Answer:

= 3z4 - 2z2 -5z

Step-by-step explanation:

6 0
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