Find the quadratic polynomial whose sum of zeroes is 3 and product of

1.	Find the quadratic polynomial whose sum of zeroes is 3 and product of zeroes is 2.
Answer» X² - 3x+2 Given:-a+b=3 and ab=2Required quadratic polynomial =x2-(a+b)x+(ab) =x2-3x+2 Let\xa0α\xa0and\xa0β\xa0are the roots of given Quadratic polynomial.Given:α+β=3,αβ=2Quadratic polynomial:x2−(α+β)x+(αβ)∴\xa0Polynomial is\xa0x2−3x+2\xa0

Discussion