Assertion(A): A quadratic polynomial whose sum of zeroes is 12 and product is 8 is x²-20x+96 Reason(R): If α and β are zeroes of polynomial, then the polynomial is x²–(α+β)x + αβ

Question

Assertion-ReasonFormation of Quadratic Polynomial from Given Zeroes

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The quadratic equation whose roots are 7 and 1/7 is :

Find the quadratic polynomial if its zeroes are 0, √5.

If the sum and product of the zeroes of a quadratic polynomial are both equal to 5, which polynomial matches this condition?

Find a quadratic polynomial whose sum and product of zeroes are 1/4 and -1 respectively.

Write the quadratic polynomial whose zeroes are 3 and -2.

Write quadratic polynomial whose zeroes are 5√3 and 2√5