write a quadratic polynomial sum of whoes number is 4 and product is1​

2 thoughts on “write a quadratic polynomial sum of whoes number is 4 and product is1​”

1. Answer:

   Given ,Sum of roots=α+β=a−b=2

   Product of roots=αβ=ac=3

   Polynomial: p(x)=x2−(α+β)x+αβ=0

   p(x)=x2−2x+3

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   If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula

   Let f(x)=k{x2−(sum of zeros)+x+product of zeros},

   where k=a real number

   Let f(x) be a polynomial

   Sum and product of whose zeros are −3 and 2 respectively

   f(x)=k[x2−(−3)x+2]=k[x2+3x+2] (∵k=real number)

   Thus required polynomial f(x)=x2+3x+2

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2. Answer:

   x square-4x+1 is the quadratic equation

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