Which of the following equations has the sum of its roots as 3?

Relationship Between Zeroes and Coefficients of Quadratic Polynomial, Roots of a Quadratic Equation | PadhAiPro

Question

MCQ (Single)Relationship Between Zeroes and Coefficients of Quadratic PolynomialRoots of a Quadratic Equation

If the sum of zeroes of the polynomial p(x) = 2x² − k√2 x + 1 is √2, then value of k is :

The zeroes of a polynomial x² + px + q are twice the zeroes of the polynomial 4x² − 5x − 6. The value of p is :

Relationship Between Zeroes and Coefficients of Quadratic Polynomial

Find the zeroes of the polynomial p(x) = 3x² – 4x – 4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of p(x).

Find the zeroes of the polynomial r(x) = 4x² + 3x − 1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial r(x).

Find the zeroes of the polynomial p(x) = 6x² − 5x − 1. Hence, obtain a polynomial each of whose zeroes is three times the zeroes of p(x).

Obtain the zeroes of the polynomial p(x) = 2x² − 5x − 3. Hence, obtain a polynomial each of whose zeroes is one less than each of the zero of p(x).