Question

Quadratic polynomial 2x² -3x + 1 has zeroes as a and b,then the quadratic polynomial whose zeroes are 3a and 3b is

Answer 1

Answer:

Step-by-step explanation:

⇒2x² -3x + 1 =0

⇒2x²-2x-x+1=0

⇒2x(x-1)-1(x-1)=0

⇒(x-1)(2x-1)=0

⇒x=1 or 1/2

let a=1 and b=1/2,

so as per quest. 3a=3 and 3b=3/2

let the required polynomial p(x) has zeros α=3 and β=3/2. now

α+β=9/2 and αβ=9/2

then x²+(α+β)+x-αβ

x²+9/2x-9/2