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

Formation of Quadratic Polynomial from Given Zeroes | PadhAiPro

Question

TextFormation of Quadratic Polynomial from Given Zeroes

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 q(x) = 8x² – 2x – 3. Hence, find a polynomial whose zeroes are 2 less than the zeroes of q(x).

Zeroes of a Polynomial as X-Intercepts of Graph

Formation of Quadratic Polynomial from Given Zeroes

Factorisation Method for Solving Quadratic Equations

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).

Obtain the zeroes of the polynomial 7x² + 18x − 9. Hence, write a polynomial each of whose zeroes is twice the zeroes of given polynomial.