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
exis [7]
3 years ago
8

Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Given:

The given quadratic polynomial is :

x^2-x-12

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

x^2-x-12

Equate the polynomial with 0 to find the zeroes.

x^2-x-12=0

Splitting the middle term, we get

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x+3)(x-4)=0

x=-3,4

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}

x^2-(3+(-4))x+(3)(-4)

x^2-(-1)x+(-12)

x^2+x-12

Therefore, the required polynomial is x^2+x-12.

You might be interested in
How do yo find the area of a polygon?
Grace [21]
To find the area of a polygon you have to write the formula of it which is area= 1/2 x perimeter x apothem . hope this helps
8 0
2 years ago
A flight averages 460 mph. The return flight averages 500 mph due to tailwind. The total flying time is 4.8 hours how long is ea
Nesterboy [21]

 

We know that time is distance over velocity, that is:

time = distance / velocity

t = d / v

 

Now from the given:

d / 460 + d / 500 = 4.8

Now we can find for d:

d = 4.8 / [1/460 + 1/500]

d = 1150 miles

 

So the time of each flight is:

flight = 1150 / 460 = 2.5 hours

<span>return flight = 1150 / 500 = 2.3 hours</span>

8 0
3 years ago
Read 2 more answers
The expressions a(8x + 7) and 4x + 3.5 are equivalent. What is the value of a?
Mashutka [201]

Answer:

Step-by-step explanation:

7 0
3 years ago
If Bob deposits $5,000 at the beginning of each year for 10 years in an account paying 12% interest compounded annually, find th
MaRussiya [10]
Possibly $56000 or give me one sec for the hard answer,.
3 0
3 years ago
Read 2 more answers
8 for 2 pound of rice in unit rate
Sav [38]
8/2 pound, simplified 4/1 pound
5 0
3 years ago
Other questions:
  • Can someone help me please? What is 6 times 6 plus 9 divided by 10 in the second power?
    12·1 answer
  • Find the value of x for which ABCD must be a parallelogram
    10·1 answer
  • Find the greatest common factor of 11 m2 and 8m.
    11·2 answers
  • The truck's tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.
    14·1 answer
  • Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t
    8·2 answers
  • If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
    13·2 answers
  • Simplify: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%5E%7B3%7D-7%5Ccdot3%5E%7B4%7D-2%5E%7B5%7D%5Ccdot9%7D%7B%5Cleft%281-
    7·1 answer
  • Parallel, perpendicular or neither
    14·1 answer
  • Dominique deposited $3,000 into an account earning simple interest. The interest rate is 2.6%. How much interest will Dominique
    6·1 answer
  • Solve by completing the square 2x^2+x-4=0​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!