Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Quadratic polynomial having sum of it's zeros is 5 and product

Question

Quadratic polynomial having sum of it's zeros is 5 and product of it's zeros is - 14 is

x^{2} - 5 x - 14

x^{2} - 10 x - 14

x^{2} - 5 x + 14

none of these

Views: 953 students

Found 7 tutors discussing this question

Elizabeth Discussed

Quadratic polynomial having sum of it's zeros is 5 and product of it's zeros is - 14 is

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

α

β

be the zeros of the quadratic polynomial,

as given sum of it's zeros

5

and product of it's zeros

- 14

then

α + β = 5

and

α β = - 14

(x - α) (x - β)

is the quadratic polynomial.

=> x^{2} - 2 x - β x + α β

=> x^{2} - (α + β) x + α β

=> x^{2} - 5 x + (- 14)

=> x^{2} - 5 x - 14

Therefore quadratic polynomial is

x^{2} - 5 x - 14

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Quadratic polynomial having sum of it's zeros is 5 and product of it's zeros is - 14 is
Answer Type	Text solution:1
Upvotes	150