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
lesya [120]
3 years ago
8

Polynomial Functions help

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary. 

First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total. 
Therefore, there is one real root and two imaginary roots.
Answer is B

Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots. 

Answer is C) 3 real and 2 imaginary zeroes.

You might be interested in
What is the best approximation of 6% tax on a $102 purchase? A) $6 B) $12 C) $18 D) $24
larisa [96]
Here, On Approximation, Just consider $102 as $100

Then, 6% of 100 would be: $6 

In short, Your Answer would be: Option A

Hope this helps!
6 0
2 years ago
which of the following is the equation of the line that passes though the point (-2,1) and has a slope of 4
Ierofanga [76]

An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.


You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.


y = mx + b

1 = 4(-2) + b

1 = -8 + b

9 = b


Now we can use that and the slope to create the equation y = 4x + 9

4 0
3 years ago
Help!!<br> help on 33 please .
oksian1 [2.3K]
Description: They didn't distribute the 3 to both x and 5, so they just had 3x+5.
actual problem:
3(x+5)=3x+15
3x+15=3x+15
subtract 3x from both sides and end up with
15=15

Correct Answer: 15=15
5 0
3 years ago
If f(x)=-x^2+2x, find f(3)-7
igomit [66]

Answer:

f(3) just means to substitute 3 in for x.

Step-by-step explanation:

f(3) just means to substitute 3 in for x.  

f

(

3

)

=

−

2

Explanation:

f

(

3

)

=

−

(

3

)

2

+

7

According to the order of operations, first square the 3, which is 9.

f

(

3

)

=

−

9

+

7

The negative sign in front of the x squared is equivalent to multiplying by negative one.

Add -9 and 7 together, which is -2

So,  

f

(

3

)

=

−

2

5 0
2 years ago
What is the horizontal asymptote of f(x) = (2x+1)/ (x^2-4x+3) +2
evablogger [386]

Answer:

x=3 and x=1

Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.

You have to factorize the denominator and find the zeroes of the denominator.  That is how you find out the horizontal asymoptote.

6 0
2 years ago
Other questions:
  • Factor 2x^2-4x-30 completely
    5·1 answer
  • How many solutions does the equation have? 5(w−1)−2=5w+7<br><br>A.0 B.1 C.infinitely many
    12·2 answers
  • What are the integers that lie between square root 24 and square root 46
    12·1 answer
  • What is the perimeter of the isosceles right triangle with hypotenuse 10?
    9·1 answer
  • Sb please help !!!!!
    5·1 answer
  • Please help me with this.
    9·1 answer
  • Answer and I will give you brainiliest ​
    11·1 answer
  • ILL MARK AS BRAINLESS PLS
    15·2 answers
  • The point (8, –8) is located in which quadrant?
    13·2 answers
  • Find the percentage change from<br> 40 to 60.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!