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
avanturin [10]
4 years ago
5

For the polynomial function ƒ(x) = x4 − 16x2, find the zeros. Then determine the multiplicity at each zero and state whether the

graph displays the behavior of a touch or a cross at each intercept.
Mathematics
1 answer:
ddd [48]4 years ago
5 0
Our function f(x) can be rewritten if we factor out a common x^2 from each term:
f(x) = x^2(x^2-16)
Now inside the parentheses we have a polynomial of the form a^2 - b^2, or the difference of two perfect squares, which can be factored as (a+b)(a-b) so we have:
f(x)=x^2(x-4)(x+4)
Setting our function equal to zero gives us the roots x = 0, x = 4, and x = -4.
The multiplicity of the root zero is two since it occurs twice, and the others are one since they occur only once. If you graph the function you can see that it will only touch the x-axis at x = 0, but will cross the x-axis at x = 4 and x = -4.
You might be interested in
Does anyone know the answer to this? i’ll mark brainliest
Ilia_Sergeevich [38]

Answer:

It is greater

Step-by-step explanation:

6 0
3 years ago
What is -3 < p/2 < 0
AveGali [126]

Answer:

-6 \le p < 0

In interval notation, the solution is [-6, 0).

Step-by-step explanation:

-3 \le \dfrac{p}{2} < 0

Multiply the three sides by 2.

-3 \times 2 \le \dfrac{p}{2} \times 2 < 0 \times 2

-6 \le p < 0

In interval notation, the solution is [-6, 0).

3 0
4 years ago
What's the unit rate for 2,500 kilobytes in 5 minutes
Aleks [24]
The ratio is 500:1 if you are looking for that
Hope I helped
And if I can, Can I get brainliest
4 0
3 years ago
Read 2 more answers
Taylor can make one banner out of yards of fabric. How many banners can he make with yards of fabric?
seropon [69]
As stated before in the equation, Taylor can make one banner out of yards of fabric.
6 0
3 years ago
#22 please ☹️ i need help
ioda

Answer: I think the answer is the one on step 2

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • To be considered a full-time student at BYU-Idaho, a student must take at least 12 credits in a semester. The maximum number of
    5·1 answer
  • Paloma has a flower stand at a farmer's market. On Tuesday, she sold 8 marigold flats and 10 daisy flats. An hour before closing
    9·1 answer
  • Simplify to create an equivalent expression<br><br> -y minus -3(-3y+5)
    13·1 answer
  • As students move to thinking about formulas it supports their conceptual knowledge of how the perimeter of rectangles can be put
    14·1 answer
  • Some doctors recommend that men drink 3 liters of water every day. There are approximately 236.6 milliliters in 1 cup. Which mea
    12·1 answer
  • Plz help me plzzzzzzzzzzzzzzzz
    6·2 answers
  • These pfps for micky mouse
    15·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • The sail on a boat is triangular and its area is 216 feet. If the length of the base of the sail is 18 feet, find its
    8·1 answer
  • In a Survey conducted at a pet store, 150 customers were asked if they owned birds or fish. the survey data are shown in the rel
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!