Question

Qno3. Find a quadratic polynomial -1/4, 1/4 as the sum and product of its zeroes respectively.​

Answer 1

Answer:

Step-by-step explanation:

Sum of zeros = α + β

Product of zeros = α β

So,

Sum of zeros = α + β = -1/4

Product of zeros = α β = 1/4

Now, If α and β are zeros of any quadratic polynomial, then the quadratic polynomial equation can be written directly as:

x² – (α + β)x + αβ = 0

x² – 1/4 x + (1/4) = 0

1/4(x² – x ) = 0