Question

find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively

i) 1
_ , - 1
4​

Answer 1

Answer:

x2-x-1/4

Step-by-step explanation:

see picture

hope it helps you...!!!

Answer 2

Answer:

From the formulas of sum and product of zeroes, we know,

Sum of zeroes = α+β

Product of zeroes = α β

Sum of zeroes = α+β = 1/4

Product of zeroes = α β = -1

∴ If α and β are zeroes 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) = 0

4x²–x-4 = 0

Thus,4x²–x–4 is the quadratic polynomial.

Step-by-step explanation:

Hope this helps you ✌️