Question

write a quadratic polynomial for which sum of zeroes = 1/4 , product of zeroes = -1​

Answer 1

Step-by-step explanation:

sum of zeroes = 1/4

-b \ a = 1 /4

@+ ß= 1/4 ----i)

product of zeroes = -1

c/a = -1

@ß = -1

@=-1/ß

Equating value of @in eq i)

@ +ß =1/4

-1/ß +ß =1/4

(-1 +ß²)/ß = 1/4

-4 + ß² = ß

ß² -ß-4 =0

ß²