Question

Find the quadratic polynomial whose zeroes are 2
and - 6 verify the celation between the coefficiente
and zerocs of
of the polynomials​

Answer 1

Given

Alpha=2

Beta=-6

Sum of zeroes(alpha+beta)=2+(-6)=2-6=-4

Product of zeroes(alpha×beta)=2×-6=-12

Quadratic polynomial

K{x^2-(alpha+beta)x+(alpha×beta)}

K{x^2-(-4)x+(-12)}

K{x^2+4x-12}

K=1

1{x^2+4x-12}

Quadratic polynomial:x^2+4x-12

Relationship between zeroes and coefficients

Sum of zeroes=-(coefficient of x)/coefficient of x^2=-4/1=-4

Product of zeroes=constant term/coefficient of x^2=-12/1=-12

I hope it's help you

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