Question

Hey..!!

Answer this question properly please..!!

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Q Write the family of quadratic polynomials having -1/4 and 1 as its zeros..



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Answer 1

Answer:

The Family of the polynomials is f(x) = k[ x² - (3x/4) - (1/4) ]

Step-by-step explanation:

Hey Mate,

Suppose,

A and B are the zeros of Quadratic Polynomial.

Given Data ,

A = ( - 1/4 )

B =  1

So,

A + B = (-1/4) + 1 = 3/4  ........  (1)

A × B = (-1/4) × 1 = -1/4  ........  (2)

#(You can also take alpha & beta in place of A & B)

The Quadratic Polynomial is : k[x² - (A+B)x +(A×B)]

Take the value of (A+B) from the Eq (1) and (A×B) from Eq (2)

= > k[x² - (3/4)x +(-1/4)]

= > k [ x² - (3x /4) - 1/4 ]

So,

The  Family of Quadratic Polynomial of f(x) = >  k [ x² - (3x /4) - 1/4 ]