Question

7. Find the quadratic polynomial whose sum and product of zeros are
i) 1/4, -1
ii) 4,1

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Answer 1

Step-by-step explanation:

Quadratic polynomial

x^2- sum of zeores + product of zeores

1) x^2-1/4-1 or 4x^2-x-1

2) x^2-4x+1

Answer 2

Answer:

general formula

x²-(sum of zeros)x + product of zeros=0

(I) x²-(1/4)x +(-1)=0

x²-(1/4)x -1=0

by taking lcm 4

we get

(4x²-x-4)/4=0 {1x = x)

4x²-x-4=0×4

4x²-x-4 = 0

ii) x²-(4)x +(4)=0

x²-4x+4=0

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