All categories

3 years ago

(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n. What is the value of n?

Mathematics

1 answer:

Igoryamba3 years ago

4 0

Answer:

n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

You might be interested in

Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observi

aev [14]

Answer:

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.

We conclude that the menager use the hypergeometric distribution.

b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We conclude that the menager use the binomial distribution.

4 0

3 years ago

What is 6 divided by 812

maksim [4K]

6 divided by 812 is very difficult to do without using a calculator - I would suggest the bus shelter method, as I've shown in the photo attached, but it is still quite difficult to use that method without a calculator.

<em>If</em>, however, you mean 812 divided by 6, that is a lot easier to calculate using the bus shelter method - so, just in case, I've attached the method for that too.

6 divided by 812 = 0.007389...

4 0

4 years ago

Write as a single power: 4^20 + 4^20 + 4^20 + 4^20

S_A_V [24]

Sorry, I misinterpreted the question before.\\\\ 4^20+4^20+4^20+4^20 \\\\ 4(4^20)\\\\ 4^21\\\\

3 0

4 years ago

If 5 gallons cost $ 6.60 how much do 29 gallons of gasoline cost

ikadub [295]

Answer:

Should be 38.28

Step-by-step explanation:

Dividing 6.60 by 5 is $1.32, aka the cost of one gallon. multiply by 29, answer is that it costs $38.28 to get 29 gallons of gasoline.

5 0

3 years ago

(5 – 3x)4 – 2<br><br> Please I need help. Show steps im so confused

RSB [31]

Answer:

Step-by-step explanation:

P (5-3) =2

E X

M 2 x 4 =8

D X

A X

S 8 - 2 =6

6 0

3 years ago