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
Artist 52 [7]
2 years ago
5

If (2-square root of 3 ) is a root of a polynomial with integer coefficients which of the follow must be another root

Mathematics
1 answer:
Anika [276]2 years ago
4 0

\text{If k and l are the roots of a polynomial w(x), then}\ w(x)=a(x-k)(x-l).

(2-\sqrt3)-a\ root\ of\ a\ polynomial\\\\another\ root\ must\ be\ C.\ (2+\sqrt3),\ because\\\\\ [x-(2-\sqrt3)][x-(2+\sqrt3)]=(x-2+\sqrt3)(x-2-\sqrt3)\\\\=[(x-2)+\sqrt3][(x-2)-\sqrt3]\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=(x-2)^2-(\sqrt3)^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=x^2-2(x)(2)+2^2-3=x^2-4x+4-3=x^2-4x+1

Answer:\ \boxed{C.\ (2+\sqrt3)}

You might be interested in
The line ax − by + 3 = 0 is parallel to the line 3x + 2y − 4 = 0 and passes through the point (1, −2). Find a and b.
Igoryamba

Answer:

a=9

b=-6

Step-by-step explanation:

7 0
2 years ago
Which best shows the graph of the equation y = x + 10?<br><br><br> A.<br><br> B.<br><br> C.
Aleksandr [31]
Y=10x is correct but don't want you get me the question again
4 0
2 years ago
About how many people out of 350 would likely wear blue jeans?
skelet666 [1.2K]

Answer:84

Step-by-step explanation:

Set up a proportion

36/150 =x/350

Cross multiply then divide

4 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)
svlad2 [7]

Answer:

The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

Step-by-step explanation:

Given : Expression 7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

To Simplified : The expression

Solution :  

Step 1 - Write the expression

7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

Step 2- Simplify the roots and re-write as

16=2^3\times2 and 8=2^3

7\sqrt[3]{2x}-3\times2\sqrt[3]{2x}-3\times2\sqrt[3]{x}

Step 3- Solve the multiplication

7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}

Step 4- Taking \sqrt[3]{2x} common from first two terms

\sqrt[3]{2x}(7-6)-6\sqrt[3]{x}

\sqrt[3]{2x}-6\sqrt[3]{x}

Therefore, The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

5 0
3 years ago
Read 2 more answers
Angles θ and Φ are supplementary, and theta equals 3pi/7 find the measure of theta
Ivenika [448]
Hello : 
Φ + <span>3π/7 = </span>π 
Φ =  π - 3π/7
Φ =4π/7 
7 0
3 years ago
Other questions:
  • Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If
    11·1 answer
  • A standard deck of 52 cards theses cards are divided into four 13-suits: hearts, clubs, spades, and diamonds find the possibilit
    14·1 answer
  • A 5-pack of toy cars costs $4.95. What is the unit price?
    13·1 answer
  • 0.1 meters long. 1/10 of 0.1
    9·1 answer
  • Complete the addition 2/9+5/18
    11·2 answers
  • A cheer squad of 8 cheerleaders raised $317.30. They need $622.42 to
    5·2 answers
  • Write an equation of a line that passes through (-2,5)and (-3,9)
    6·1 answer
  • 2. What is the pay rate for someone who works 3 hours and earns $21?
    15·2 answers
  • What is the measure of angle DCE? Use numbers only.
    10·1 answer
  • R= 8.4 in<br> Calculate the diameter of the<br> circle.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!