All categories

3 years ago

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer: 3 zeroes.

Explanation:-

The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has atleast one complex root.
Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is $f(x)=4x^3-x^2-2x+1$

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

ozzi3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

please mark as brainliest

7 0

3 years ago

If a man earns $420 interest in one year at 7%, what was the amount of money invested?

baherus [9]

Answer:

6,000

Step-by-step explanation:

4 0

3 years ago

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fru

prisoha [69]

Answer:

Ratio of apple to banana is 2:1

Step-by-step explanation:

To find ratio of x type of one thing and y type of other thing we divide

x by y and ratio is written as

ratio = x:y

_________________________________

Number of banana = 2

Number of apples = 4

Ratio of apple to banana = Number of apples :Number of banana

Ratio of apple to banana = 4:2

since 4 is divisible by 2 , to get the ratio in simplest form

we divide both numerator and denominator by 2

Ratio of apple to banana = 4/2:2 /2 = 2:1

Thus,

Ratio of apple to banana is 2:1

3 0

3 years ago

You fly in a helicopter for 20 minutes that goes at a speed of 240 kilometers per hour. How far did you go?

wariber [46]

You have traveled 80km

3 0

3 years ago

Read 2 more answers

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 , t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876 [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

$876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876$

In percent , $r=0.0876\times100=8.76\%$

Hence, the rate of interest = 8.76%

6 0

3 years ago