1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
2 years ago
6

Which polynomial will definitely have nonreal zeros?

Mathematics
2 answers:
Gnoma [55]2 years ago
7 0

Answer:

Option C - f(x) =x^3-2x^2  

Step-by-step explanation:

To find : Which polynomial will definitely have non-real zeros?

Solution :

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function.

Now, we apply Descartes's  rule in each polynomial.

A) f(x) =x^3-2x^2-x-2

(+ - - - ) f(x) has one sign change,

So, One positive roots.

f(-x) =(-x)^3 - 2(-x)^2 -(-x) - 2

f(-x) = -x^3-2x^2+x-2

(- - + -) f(-x) has two sign change,

So, there are either 0 or 2 negative real roots.

B) f(x) =x^3-2x^2+x-2

(+ - + - ) f(x) has three sign change,

So, Three positive roots.

f(-x) =(-x)^3 - 2(-x)^2 +(-x) - 2

f(-x) = -x^3-2x^2-x-2

(- - - -) f(-x) has no sign change,

So, there are no negative real roots.

C) f(x) =x^3-2x^2

(+ -) f(x) has one sign change,

So, One positive roots.

f(-x) =(-x)^3 - 2(-x)^2

f(-x) = -x^3-2x^2

(- -) f(-x) has no sign change,

So, there are no negative real roots.

Since, the order of polynomial is three and we get only one real root so the roots left possibly be imaginary or non-real zeros.

D) f(x) =x^4-8x^2+16

(+ - +) f(x) has two sign change,

So, two positive roots.

f(-x) =(-x)^4 - 8(-x)^2 +16

f(-x) = x^4-8x^2-x+16

(+ - +) f(-x) has two sign change,

So, there are two negative real roots.

Therefore, Only Option C will have non-real zeros.

Brut [27]2 years ago
3 0
The best and most correct answer among the choices provided from your question about nonreal zeroes is the fourth option or letter <span>D.X^4-8x^2+16. It was found out that the zeroes of this polynomial have one positive real root which is nonzero because it has sign change. I hope that has come to your help.</span>
You might be interested in
2. Which of the following expressions is equivalent to 322?<br> 01<br> 08.1/1<br> 032.2<br> 08-2
Vanyuwa [196]

Answer:

C. (32/4)*2

Step-by-step explanation:

C is the correct answer because when we divide 4/2 it equals 2.

Hope this helps!

3 0
1 year ago
Read 2 more answers
Can somebody help me please
Strike441 [17]

Answer:

35m

Explanation:

Perimeter is the sum of all the sides of a shape, or a+b+c=P.

12m+8m+15m = 35m

7 0
2 years ago
Read 2 more answers
A-4 when a=16<br> PLEASE HELP
butalik [34]
<span>A-4 
Substitute 16 for a
16-4
Subtract
Final Answer: 12</span>
7 0
3 years ago
Read 2 more answers
Which expression is a difference of two terms that is equivalent to -6z + 13?
Anna71 [15]

Answer: D

Step-by-step explanation:

(5z + 15) - (11z + 2)

= (5z-11z) +(15-2)

= -6z+13

5 0
2 years ago
Will get Brainliest!!!!!!!<br> Is -8 an integer?
Elden [556K]

Step-by-step explanation:

yes indeed -8 is an integer number

integer number consists of negative number too

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone give me the answer for number 10
    8·1 answer
  • Find the area of a regular nonagon with a side length of 7 and an apothem of 5
    15·1 answer
  • A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The m
    10·1 answer
  • Can you help me with my expanded notation please
    5·1 answer
  • Plz help me with this question plz help me plz help me I need your help plz
    13·1 answer
  • What would the answer be ?
    11·2 answers
  • 1) The equation for line j can be written as y = 7/6x - 12.
    13·1 answer
  • What is the precise measurement in each pair?<br> 3 lb; 47oz
    10·1 answer
  • Write the equation of the line through the points (4,5) and (12,9)
    15·2 answers
  • Jose has 8 2/3 cups of plaster of Paris powder. If Jose uses 5 3/5 cups of sculpture, how much plaster will he have left?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!