Question

If alpha and beta are the roots of 2x^2- 3x+1=0,find a new polynomial whose zeroes are 3 alpha and 3 beta.​

Answer 1

Answer:

Step-by-step explanation:

2x2-9x+9

Step-by-step explanation:

Alpha + beeta=-b/a

=3/2

Alphabeeta=c/a

=1/2

3alpha +3beeta=3(alpha+beeta)

=3×3/2=9/2=-b/a

3alpha×3beeta=9alphabeeta=9×1/2

=9/2=c/a

a=2 b=-9 c=9

Therefore quadratic polynomial= 2xsquare-9x+9