Practice30 Create account

If alpha and beta are the zeroes of $x^{2} - 5 x + 6$ , then a quadratic polynomial whose zeroes are 2alpha and 2beta is:

Class 10Zeroes and CoefficientsAlgebra — Polynomials

A $x^{2} - 10 x + 24$
B $x^{2} - 5 x + 24$
C $x^{2} - 10 x + 12$
D $x^{2} - 10 x + 6$

Step-by-Step Solution

Original sum = 5, product = 6. New sum = 2(5) = 10, new product = 4(6) = 24. Polynomial =

x^{2} - 10 x + 24

.

Answer: A)

x^{2} - 10 x + 24

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Zeroes and Coefficients practice questions

More Class 10 Zeroes and Coefficients practice

If alpha and beta are the zeroes of 3x^2 - 6x + 4, find the value of alpha/beta +…A polynomial is kx^2 - 2x + 3k (with k not equal to 0). If the sum of its zeroes equals…Two numbers chosen by a shopkeeper in Jaipur are the zeroes of x^2 - 18x + 45, marked on…If alpha and beta are the zeroes of x^2 - 6x + k and alpha^2 + beta^2 = 40, find the…If alpha and beta are the zeroes of x^2 - 3x - 10, then a quadratic polynomial whose…