Question

Find a quadratic polynomial each with the given number as the sum and product
1,1

Answer 1

Given

alpha=1

Beta=1

Sum of zeroes(alpha+beta) =1+1=2

Product of zeroes(alpha×beta)=1×1=1

Quadratic polynomial

K[x^2-(alpha+beta)x+alpha×beta]

K[x^2-2x+1]

K=1

1[x^2-2x+1]

Quadratic polynomial=x^2-2x+1

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