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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

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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

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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