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
kondaur [170]
2 years ago
8

Find an equation with a solution of x = 2 of multiplicity 1 , and a solution of x = − 1 of multiplicity 2 .

Mathematics
1 answer:
luda_lava [24]2 years ago
7 0

We want to find an equation for the given solutions and the multiplicity of each solution.

The equation is:

0 = (x - 2)*(x + 1)^2

First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.

The equation, of a polynomial that meets these requirements, is given by:

0 = A*(x - x_1)^{m_1}*...*(x - x_n)^{m_n}

Where A is the leading coefficient and can be any real number.

Now that we know that, here we have the solutions:

  • x = 2 with multiplicity 2
  • x = -1 with multiplicity 2

We don't have information about the leading coefficient, so we assume it is equal to 1.

Then the equation is:

0 = (x - 2)*(x + 1)^2

If you want to learn more, you can read:

brainly.com/question/11536910

You might be interested in
How many places after the decimal point does the equivalent decimal have if: the denominator of the fraction is 100?​
Natali [406]

Answer:

2 places after the decimal point.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Ms. Williams wanted information about how well her students were
Arturiano [62]

Answer:

https://www.pittsfordschools.org/cms/lib/NY02205365/Centricity/Domain/683/ANSWER%20KEY%20TO%20ALL%20HOMEWORK.pdf

Step-by-step explanation:

If this doesn’t work I’m sorry but that’s the link!

5 0
3 years ago
Enter an equation in standard form for the line.<br> Slope is -5, and (-6, -10) is on the line.
fredd [130]
Y+10=-5(x+6)
Y +10= -5x-30
5x+y+40=0
3 0
3 years ago
Read 2 more answers
P=2l+2w. solve for w. show all steps. please
aliina [53]

Answer:

Step-by-step explanation:

You need to get w on one side by itself.

Start out by subtracting 2l from both sides.

p−2l=2w.

Now since w is being multiplied by 2 we need to divided both sides (all terms) by 2.

w=p2−I

7 0
3 years ago
Read 2 more answers
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed
Aleks [24]

Answer:

I think 21

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch. Each student
    9·2 answers
  • 82 and 95 what is an expression for that
    6·1 answer
  • What is the square root of 8X^2 divided by 12X^5
    7·1 answer
  • The airline that Vince is using has a
    11·1 answer
  • Which expression is equivalent to r9•r3
    15·1 answer
  • What is 4(-2) - 2y =8?
    12·2 answers
  • Which of the following is a polynomial with roots 4,6, and -7?
    12·2 answers
  • The formula for the volume of a triangular pyramid is V= 1/3Bh. Which expression can be used to find the value of B, the area of
    8·1 answer
  • Timed math quiz 12 <br> Please help me
    6·1 answer
  • Que es el volumen (en matematicas)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!