Question

A quadratic polynomial , whose zeroes are -3and 4 is a: x^2-x+12 , b: x^2+x+12. , c: 2x^2+2x-24 d: x^2/2-x/2-6​

Answer 1

Given

Alpha=-3

Beta=4

Sum of zeroes(alpha+beta) =-3+4=1

Product of zeroes(alpha×beta)=-3×4=-12

Quadratic polynomial

K{x^2-(alpha+beta)x+(alpha×beta)}

K{x^2-1x+(-12)}

K{x^2-1x-12}

K=1

1{x^2-1x-12}

Quadratic polynomial=x^2-x-12

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