Question

If α and β are the zeroes of the polynomial x2 -4x + 3, then form a

quadratic polynomial whose zeroes are 3α. and 3β. ​

Answer 1

x² -4x+3 =0

x² -3x -x +3 =0

x(x-3) -1 (x-3) =0

x-1 =0 and x-3 =0

x= 1 and x= 3

hence the zeroes of another quadratic equation is 3α. and 3β = 3 and 9

sum of zeroes = (a+b) = 3+9 = 12

products of zeroes= (a×b) = 3×9 = 27

x² - ( a+b)x +(ab)

x² -12x +27 =0

Answer 2

refer the attachment . ...