Question

find a quadratic polynomial whose sum and product of the zeroes are _2/1and3/25​

Answer 1

• let the quadratic equation is ax^2+bx+c=0
• sum of zeroes
• =-(coff.of x) /coff .of x^2
• =-b/a=-2/1
• product of zeroes =c/a=3/25
• quadratic equation can be written as
• x^2-(sum of roots )x+(prod.of root)
• x^2+2x+3/25=0
• multiply by 25 on both side 25x^2+50x+3=0 which is required answer