Question

Q.Find a polynomial, if the sum of its zeroes is 1/4 and product of its zeroes is -1.

Answer 1

formula to find a quadratic polynomial=x²+(sum of zeros)x + product of zeros

= x²+1/4x + (-1)

Taking LCM 4 we will get

ANS=== 1/4(4x²+x-4)

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Answer 2

Answer:

4x²-x-4=0

Step-by-step explanation:

α+β=-b/a=1/4

αβ=c/a=-1

x² -(α+β)x+αβ

required expression-

4x²-x-4=0