Question

find a quadratic polynomial 1/4,-1 the given number as the sum and product of zeros​

Answer 1

Answer:

Let the polynomial be

p(x) = ax^2 + bx + c

Sum of zeros = 1/4

–b/a = 1/4

Assuming a = 1

–b/1 = 1/4

b = –1/4

Product of zeros = –1

c/a = –1

Assuming a = 1

c/1 = –1

c = –1

Now a = –1, b = – 1/4, c = –1