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
11Alexandr11 [23.1K]
3 years ago
15

Use the Remainder Theorem to determine which of the roots are roots of F(x). Show your work.

Mathematics
1 answer:
Brums [2.3K]3 years ago
3 0

Answer:    x1=1   x2=-2  and x3=2

Step-by-step explanation:

1st   x1=1 is 1 of the roots , so

F(1)=1-1-4+4=0 - true

So lets divide x^3-x^2-4x+4 by (x-x1), i.e  (x^3-x^2-4x+4) /(x-1)=(x^2-4)

x^2-4 can be factorized as (x-2)*(x+2)

So x^3-x^2-4x+4=(x-1)*(x^2-4)=(x-1)(x-2)*(x+2)

So there are 3 dofferent roots:

x1=1   x2=-2  and x3=2

You might be interested in
Logan drew 8 hearts and 14 circles. What is the ratio of hearts to all shapes?
lbvjy [14]

Answer:

<h2>ratio is</h2>

Step-by-step explanation:

<h2>4:7 your answer is like this . follow me</h2>
3 0
3 years ago
Please help me with vivid explanation​
Ivanshal [37]

Answer:

864 m²

Step-by-step explanation:

  • First calculate the total area of the rectangular field

The area of a rectangle is given by the product of the length and the width

let A be the total area

A = 100*120

A = 12000 m²

Calculate the area of the small rectangles

  • Let A' be the total area of the four small rectangles and A" the area of one small rectangle
  • A' = 4 A"
  • A' = 4 [(\frac{120-4}{2})*(\frac{100-4}{2})]
  • A' = 4*58*48
  • A' = 11136 m²

  • Substract the A' from A to get the area of the road

Let A"' be the area of the road

A"' =A-A'

A"' = 12000-11136

A"' = 864 m²

3 0
3 years ago
Jordan invests £16200 into his bank account
atroni [7]

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

6 0
3 years ago
Can some help me with this I gotta get to 50 im on 48 this the last one
kaheart [24]

Answer:

Step-by-step explanation:

K (-5, 1)

L (0, 1)

M (0, 3)

N (-5, 3)

7 0
3 years ago
Pls r.a.t.e me 1=10 and thank you :)
Paraphin [41]

i will rate you 8

Step-by-step explanation:

thank you for your point

4 0
3 years ago
Read 2 more answers
Other questions:
  • The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what
    14·1 answer
  • kysen have $0, but he owes his friend $10 for a game. his other friend, James, bought a $6 lunch for him, and kysen said he woul
    8·2 answers
  • 5a + 3b + c= 40<br> a-3b+2c= -10<br> 14a-2b+3c= 50
    13·1 answer
  • The coordinates of the vertices of triangle XYZ are given in the table.
    6·2 answers
  • Find the weekly wage before deductions for following data. Hours worked Rate in dollars Weekly Wage
    6·1 answer
  • 1) If 2/7gallon of paint covers 1/5 of a wall, then how much paint is needed to cover
    10·1 answer
  • Someone please help me answer this!!
    14·1 answer
  • Find the slope between (-1,4) and (2,3)
    12·1 answer
  • Price of these shirts?
    12·1 answer
  • Find the solution to:<br> y=0.5+1<br> y=2x-2
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!