Obtain all other zeroes of 3x⁴ + 6x³ – 2x² – 10x – 5, if two of its zeroes are √(5/3) and -√(5/3)

Relationship Between Zeroes and Coefficients of Quadratic Polynomial | PadhAiPro

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TextRelationship Between Zeroes and Coefficients of Quadratic Polynomial

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).