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Find the quadratic polynomial the sum of whose zeroes is -5 and their product ia 6 find the zeroes of polynomial​

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Given \ \alpha +\beta =-5\\\\and \ \alpha \beta=6\\ \\For \ required \ polynomial=x^{2} -(\alpha+\beta )x+\alpha \beta\\\\Require \ polynomial =x^{2} +5x+6\\\\Now \ factorize \ it \ x^{2} +5x+6\\\\x^{2}+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+3)(x+2)\\\\x=-3 \ or \ x=-2\\\\so \ zeroes \ are \ -3 \ and \ -2

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