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
Rufina [12.5K]
3 years ago
9

How to form a polynomial with given zeros and degree and multiplicity calculator

Mathematics
1 answer:
ohaa [14]3 years ago
3 0

Answer:

Taking P(x) = x³-12x-16 as an example

Step-by-step explanation:

For a polynomial, if

x = a is a zero of the function, then (x − a) is a factor of the function.

We have two unique zeros:

−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.

Following how it's constructed

zero at -2, multiplicity 2

zero at 4, multiplicity 1

p(x)=x−(−2))²(x−4)¹

Thus,p(x)=(x+2)²(x−4)

Expand: p(x)=(x²+4x+4)(x−4)

p(x) =x³−12x−16

You might be interested in
Cal had $15. He spent $3 on pens and $8 on a book.
nikklg [1K]
He spent $11 dollars minus tax
3 0
3 years ago
Read 2 more answers
Two squares as shown below
zheka24 [161]

Answer:

3rd one

Step-by-step explanation:

any 2 squares are congruent since all four sides of any square are congruent

8 0
3 years ago
Please help me graph #9.
Nata [24]
Hint to start out the problem:

eg. For f(4), use the first expression, (x-3)^2 because 4 is greater than 1.
4 0
3 years ago
Read 2 more answers
Simplify the following: (9x - 7) - (5x + 10)
lianna [129]
(9x - 7) - (5x + 10 )
2x - 15x
- 13x
7 0
3 years ago
Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 g
EleoNora [17]
The other pan weights 12 pounds of balls
7 0
3 years ago
Read 2 more answers
Other questions:
  • The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is (b)(
    15·2 answers
  • mr. brown has 78 pencils. he gave them to 8 children so that each child gets the same number of pencils. how many does each chil
    13·1 answer
  • If 17(7x−3) =1 then which answer shows the correct steps to solve for x? x−3/7=1 x=4/7 x−3=1 x=4 x−3/7=1 x=10/7 x+3/7=1 x=6/7
    11·1 answer
  • Simone is going snowboarding tomorrow if the temperature is equal to or colder than 5 degree Celsius. Write an inequality that i
    9·1 answer
  • Determine each of the following.
    15·1 answer
  • Is "What is the area of the floor in this classroom?" a statistical question?
    8·1 answer
  • What is the graph of the function rule y=|3x|-1
    13·1 answer
  • Can anyone help? I’d greatly appreciate it :)
    13·1 answer
  • Solve 6t raise to power2 equal 25t plus 9 using standard form in quadratic equation​
    8·2 answers
  • 4) Given:<br> Solve for x. Show all work.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!