Find the quadratic polynomial whose zeros are ⅔ and -1/4. Verify the relation
between the coefficients and the zeros of the polynomial.
Answers
Answer:
Brainly.in
What is your question?
1
Shaan2081
15.05.2019
Math
Secondary School
answered • expert verified
Find the quadratic polynomial whose zeroes are 2 and _6 respectively, verify the relation between the coefficient and zeroes of the polynomials
2
SEE ANSWERS
Log in to add comment
Answer Expert Verified
4.0/5
6
KDPatak
Ace
1.3K answers
476K people helped
Answer:
Given:
the quadratic polynomial whose zeroes are 2 and _6
To find :
The polynomial and verify the relationship.
Solving Question:
we are given the zeros of the polynomial, hence we can find the polynomial through these equations.
If α and β are the zeros
α + β = -b/a
α * β = c/a
Solution:
α + β = 2 + (-6)
= 2-6
= -4 = -b/a
⇒ a = 1 ; b = 4
α * β = 2 *(-6)
= -12 = c/a
⇒ c = -12
Standard form : ax² + (α + β )x + α*β
the equation becomes k(x² + 4x -12 ) , where 'k' is a constant.
Relationship ;
α + β = -4 = -b/a
α * β = -12 = c/a
klondikegj and 11 more users found this answer helpful
THANKS
6
4.0
(5 votes)
Log in to add comment
Answer
5.0/5
5
ankitasharma
Genius
658 answers
127K people helped
Heya see the pic below for solution. Hope it helps you. Kindly mark it brainliest.
The verification is indeed in the process.
kason11wd and 7 more users found this answer helpful
THANKS
5
5.0
(2 votes)
Log in to add comment
Still have questions?
FIND MORE ANSWERS
ASK YOUR QUESTION
New questions in Math
the sum of 100 and 200
4+7x/6x+2=11/12वज्रगुणत विधि से हल कीजिए
a ca bthen the propertyis called as what invertendo,alternendo,componendo,dividendo
a box has nuts, bolts, nails and screws what outcomes can be obtained by drawing an item without looking at it
where r u from nd in which grade..?ur so cute dear..!!! plzz let her answer only
The area of chale inscribed in an equila-teral triangle is 22 cm² . Find theperimeter of the triangle
the name of a regular polygon of 4 sides is __________ or ___________
find out the n,2n+n-36n+144=0
ID: 724 8783 9306Passcode: Aplz girls join
A glider is flying at an altitude of 3600 m. The angle ofdepression of the control tower of the airport from theglider is 30°. 'What is the horizontal …
Previous
Next
Ask your question
WE'RE IN THE KNOW
This site is using cookies under cookie policy. You can specify conditions of storing and accessing cookies in your browser
Company
About us
Blog
Careers
Terms of Use
Privacy Policy
Cookie Policy
Community
Brainly Community
Brainly for Schools & Teachers
Community Guidelines
Content Guidelines
Honor Code
Become a Volunteer
Help
Signup
FAQ
Safety Center
Responsible Disclosure Agreement
Contact Us
Get the Brainly App
Download Android App
SCAN & SOLVE IN-APP
Answer:
zeros are 2/3 and -1/4.
=(x-2/3)(x+1/4)
=x²+x/4-2x/3-2/12
=x²+3x-8x/12-2/12
=x²-5x/12-2/12
=12x²-5x-2/12
=12x²-5x-2
verification
α+β=-b/a
2/3+(-1/4)=-(-5)/12
8-3/12=5/12
5/12=5/12
lhs=rhs
αβ = c/a
2/3×(-1/4)=-2/12
-2/12=-2/12
lhs=rhs