Question

Find a quadratic polynomial whose zeros and 1 and -3 verify the relation between the coefficients and zeros of the polynomial
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Answer 1

Given

alpha=1

Beta=-3

Sum of zeroes(alpha+beta)=1+(-3)=1-3=-2

Product of zeroes(alpha×beta)=1×-3=-3

Quadratic polynomial

K{x^2-(alpha+beta)x+(alpha×beta)}

K{x^2-(-2)x+(-3)}

K{x^2+2x-3}

K=1

1{x^2+2x-3}

X^2+2x-3

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