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
BabaBlast [244]
3 years ago
9

Three roots of the polynomial equation x4 - 4x3 - 2x2 + 12x + 9 = 0 are 3, -1 and -1. Explain why the fourth root must be a real

number. Find the fourth root.
Mathematics
1 answer:
LiRa [457]3 years ago
3 0
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).

However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).

In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.

You might be interested in
Is 14/4 and 3 1/2 equivalent​
grigory [225]

Answer:

yes

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve: Four young women went on nature walk. Before long, each of them spotted a beautiful bird, although no two spotted the sam
user100 [1]

Answer:

  • Lily Wellington saw the Cardinal
  • Karen Baker saw the Indigo Bunting
  • Pamela Isaacs saw the Scarlet Tanager
  • Grace Halliday saw the Oriole

Step-by-step explation:

In addition to the name clues, the order clues (ahead/behind) are also helpful. The above answers are listed in order, with Lily (or Karen) being first and Grace being last.

The only "Miss" in the group is Miss Isaacs, so Pamela, who has never married, must be Pamela Isaacs. Grace was behind 3 women, so must be last. Miss Isaacs did not see the oriole, nor the cardinal or indigo bunting, so must have seen the scarlet tanager.

The women who saw the cardinal and indigo bunting were the first two, so Grace saw the oriole. She was not Ms Baker or Ms Wellington, so must have been Grace Halliday.

Karen was not Ms Wellington, so must have been Ms Baker. Then Lily was Ms Wellington. She had not seen an indigo bunting, so Lily Wellington saw the cardinal, and Karen Baker saw the indigo bunting.

7 0
3 years ago
Solve -7+11-(-3 ) what is the answer need asap for class​
finlep [7]

Answer:

=7

Step-by-step explanation:

−7+11−(−3)

=4−(−3)

=7

4 0
3 years ago
2x+5>7 problem solving
Anna71 [15]

Answer:

x > 1

Step-by-step explanation:

2x+5>7

move constant to right

2x>5-7

subtract 7 and 5

2x>2

divide both sides

x > 1

7 0
2 years ago
Pencils cost 9p each. How much would 28 pencils cost?​
pickupchik [31]

Answer:

252p

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • I need help with my online class
    10·1 answer
  • If I get 9 sticks, how do I creat 10 with out breaking the sticks
    9·1 answer
  • Find dy/dx for y=log (tan2x)
    7·1 answer
  • What is the answer and and show me how to show my work
    8·1 answer
  • In trigonometry ratios how do you find the length
    12·1 answer
  • Graph the solutions of the linear inequality −2x + 2y ≥ −4.
    12·1 answer
  • What point located in quadrant l has an x-value that is 5 units from the origin and a yevalue that is 4 units from the origin?
    6·1 answer
  • First step for solving this quadratic equation? <br> x2+2x-11=4
    15·1 answer
  • Answer this please thank you
    5·2 answers
  • No link need right answer
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!