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
____ [38]
3 years ago
8

find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

plicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1
Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)

Solve the above equation:

\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\

The roots of the polynomial are as follows:

 \Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow  x_1,x_2,x_3.........x_n

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

AysviL [449]3 years ago
5 0

Answer:

answer:

a. -5 with multiplicity 3  

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Step-by-step explanation:

You might be interested in
Evaluate: 32 + (8 − 2) • 4 − 6/3
Ipatiy [6.2K]
The expression to evaluate is 32 + (8 - 2) * 4 - 6/3. In the first step you can solve the parenthesis and the fraction => 32 + (6)*4 - 2. In the second step you mutiply 6*4 => 32 + 24 - 2. Finally, you do the maths: 32 + 24 - 2 = 54. <span>Answer: 54</span>
8 0
3 years ago
Solve for x. -1+14x 12+17
tino4ka555 [31]

Answer:

x=9

Step-by-step explanation:

These two angles are equal since they are alternate exterior angles

-1 +14x = 12x+17

Subtract 12x from each side

-1 +14x-12x = 12x-12x+17

-1+2x= 17

Add 1  to each side

-1+1+2x = 17+1

2x = 18

2x/2 = 18/2

x =9

8 0
3 years ago
Solve the system of equations and choose the correct answer from the list of options.
SpyIntel [72]
(3, -2) satisfies both equations. 3-2=1, and -3-2=-5.
7 0
3 years ago
Read 2 more answers
A computer manufacture a quality check to make sure the computer sound 1004 head what is experimental probability of the compute
FinnZ [79.3K]

Answer:y

Step-by-step explanation:

7 0
3 years ago
The fourth term of an Arithmetic Sequence is equal to 3 times the first term, and the seventh term exceeds twice the third term
11Alexandr11 [23.1K]

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

8 0
3 years ago
Other questions:
  • Please please please please help
    9·1 answer
  • What is 4x + 8/7 = 4​
    13·2 answers
  • A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),<br> find the measure of A
    12·1 answer
  • the diagram shows a triangle 3x-1,3x and 4x-1. The perimeter of the triangle is 70 cm. The area of the triangle is a^2 cm. What
    13·1 answer
  • What is 1/6 plus negative 5/6?
    13·1 answer
  • Find the inverse function for f(x)=sqrt2x-6 picture below
    9·1 answer
  • If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 find f^-1 (x)
    7·1 answer
  • Evaluate the expression 4 ÷ 2 + 52.
    7·2 answers
  • A car company sells a scale model to of the size of one of its cars.
    15·1 answer
  • Which linear equation represents the graph?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!