Find a quadratic polynomial whose zeroes are -5 and 4

1.	Find a quadratic polynomial whose zeroes are -5 and 4
Answer» Roots of the quadratic polynomial = {tex}2 - \\sqrt 3{/tex} and {tex}2 + \\sqrt 3{/tex}Sum of the roots = {tex}\\ (2 - \\sqrt 3) + (2 + \\sqrt 3){/tex} = 4Product of the roots =\xa0{tex}\\ (2 - \\sqrt 3) \\times (2 + \\sqrt 3){/tex} = 4 - 3 = 1Quadratic polynomial = x2\xa0- (sum of the roots)x + (product of the roots)= x2\xa0- 4x + 1. X2 + 5x + 4

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