Question

There are ____________ quadratic polynomials whose zeroes are 2 and -3

Answer 1

Given alpha=2

Beta=-3

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

Product of zeroes=(alpha×beta)=2×-3=-6

Quadratic polynomial

K[x^2-(alpha+beta)x+(alpha×beta)]

K[x^2-(-1)x+(-6)]

K[x^2+x-6]

K=1

1[x^2+x-6]

x^2+x-6 is a required quadratic polynomial

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