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
pickupchik [31]
3 years ago
5

if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2b

eta + 1​
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

x^2-x-2

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is

\Large \boxed{\sf \bf \  \ x^2-4x-5 \ \ }

Thank you.

You might be interested in
20% of a spring basket is peeps. There are 8 peeps. What is the total number of items in the basket?
murzikaleks [220]
8*100=20*x
800  =20x
40    =x 
40 items are in the basket 
5 0
3 years ago
Read 2 more answers
Consider f and c below. f(x, y, z) = (y2z + 2xz2)i + 2xyzj + (xy2 + 2x2z)k,
qaws [65]
\dfrac{\partial f}{\partial x}=y^2z+2xz^2
f(x,y,z)=xy^2z+x^2z^2+g(y,z)

\dfrac{\partial f}{\partial y}=2xyz+\dfrac{\partial g}{\partial y}=2xyz
\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=xy^2+2x^2z+\dfrac{\mathrm dh}{\mathrm dz}=xy^2+2x^2z
\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=0

\implies f(x,y,z)=xy^2z+x^2z^2+C
8 0
3 years ago
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games? 14 24 2
larisa86 [58]

Answer:

D

Step-by-step explanation:

8÷4=2

So each game he gets 2 hits so just take each number and divide it by 2

As you can see 56÷2=28

4 0
3 years ago
Read 2 more answers
Which number is closest to 1/2
noname [10]

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

8 0
2 years ago
HELP!!!!!!!!What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?
emmainna [20.7K]

Answer:

y= -3x -2

Step-by-step explanation:

(0 , -2) and a slope of -3

The -2 is the y-intercept, put the initial point there

Use that point and put the -3 slope


3 0
3 years ago
Other questions:
  • A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negitive integers to represent this situat
    13·1 answer
  • The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
    6·2 answers
  • A triangle is cut from a<br> rectangle. Find the area<br> of the shaded region.
    14·1 answer
  • Please help I completely forgot to do this
    8·1 answer
  • Clayton uses 3/4 of a bottle of hot sauce for every batch of salsa he makes. Yesterday, he used 2 1/4 bottles of hot sauce. How
    6·1 answer
  • Round to the whole number 3.5262
    8·2 answers
  • HELP ASAP ! PLEASE I LOVE YOU MAY GOD BLESS YOU &lt;3 :)
    5·2 answers
  • The sum of a number and -7 is equal to 40.<br> Write the equation
    9·2 answers
  • How can you determine whether a sum of numbers, such as 127 + 38, is
    6·1 answer
  • What is the length of the red segment in the graph below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!