Question

Find a quadratic polynomial whose sum and
product of zeroes are 2root3,-5root3.
​

Answer 1

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Let m , n are two zeroes of the quadratic polynomial ,

It is given that ,

Sum of the zeroes = 2√3

m + n = 2√3

product of the zeroes = -5√3

mn = - 5√3

Now ,

Form of a quadratic polynomial whose zeroes are m , n is

p ( x ) = x² - ( m + n )x + mn

= x² - ( 2√3 )x + ( -5√3 )

p( x ) = x² - 2√3x - 5√3

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Answer 2

ANSWER:-

Let m , n are two zeroes of the quadratic polynomial ,

It is given that ,

Sum of the zeroes = 2√3

m + n = 2√3

product of the zeroes = -5√3

mn = - 5√3

Now ,

Form of a quadratic polynomial whose zeroes are m , n is

p ( x ) = x² - ( m + n )x + mn

= x² - ( 2√3 )x + ( -5√3 )

p( x ) = x² - 2√3x - 5√3