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
geniusboy [140]
3 years ago
12

Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq

ual to 0?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

You might be interested in
Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
3 years ago
Which of the following sets of angle measures can be used to draw an acute isosceles triangle? Select all that apply. 75°, 30°,
SCORPION-xisa [38]

Answer:

1. 80°, 80°, 40°

2. 60°, 60°, 60°

3. 20°, 140°, 20°

4. 50°, 50°, 80°

5. 75°, 30°, 75°

6. 80°, 55°, 45°

6, 2, and 4

4 0
3 years ago
Read 2 more answers
Amrita, Bill and Gary share some money. Amrita gets 1 10of the money, while Bill and Gary share the rest in the ratio 2:5. What
Monica [59]

Answer:

i feel bad for you

Step-by-step explanation:

8 0
2 years ago
Given certain information, what is the value of x4-y4?
Pepsi [2]

Well right off the bat, I can see a good reason why it should boggle.

If (x+y)=6 and (x-y)=2, then (x+y)(x-y) would be 12. It can't be 20.

The first 4 lines on the paper are inconsistent, so the question in the 5th line can't be calculated.

Another possible source of uncertainty (for us, anyway) is the remarkable similarity between the way you write ' Y ' and the way you write ' 4 ' . For example, look at the ' Y⁴ ' (I think ...) in the last line.

3 0
3 years ago
Sandra is opening a savings account which compounds interest quarterly. Her banker gave her the following function to find the a
anygoal [31]
A ..... Because .....
4 0
3 years ago
Other questions:
  • PLEASE HELP!!! How is the process for solving multiplication and division one-step equations like solving one-step addition and
    15·1 answer
  • How many square feet in a mile?
    13·2 answers
  • Which is the graph of y&lt;2x-1
    15·1 answer
  • Sally initially has 4 hours of pop music and 3 hours of classical music in her collection. Every month onwards, the hours of pop
    5·1 answer
  • PLEASEE answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
    6·2 answers
  • WHO WANTS BRAINLIEST?
    14·1 answer
  • Please answer this question, we have a test on it tomorrow. I will probably be posting more.... I will mark brainiest IF you get
    13·1 answer
  • Iguel is keeping track of mileage to find out how many miles per gallon he gets in his vehicle.
    5·1 answer
  • Consider the diagram below.<br> 42°<br> 18<br> y<br> Find x. Round to the nearest whole number!
    13·1 answer
  • Helpppp: Find the area of the parallelogram.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!