Question

Quadratic polynomial 2x^2 - 3x + 1 has zeroes alpha and beta . Now form a quadratic polynomial whose zeroes are 3 alpha and 3 beta.

Answer 1

p(x)=2x^2-3x+1

2x^2-2x-1x+1

2x(x-1)-1(x-1)

(2x-1)(x-1)

x=1/2=α x=1=β

3α=3/2 3β=3

p(x)=x^2-(α+β)x+αβ

=x^2-(3/2+3)x+3/2x3

x^2-7/2x+9/2

2x^2-7x+9

Hope it helps you