Question

Find a quadratic polynomial each with the given
number as the Sum and product of its Zeroes
respectively,​

Answer 1

his how are u

x2-Sx+P

brainliest

Answer 2

From the formulas of sum and product of zeroes,

We know,

• Sum of zeroes = α + β
• Product of zeroes = αβ

Given,

• Sum of zeroes = 1/4
• Product of zeroes = -1

Therefore, if α and β are zeroes of any quadratic polynomial, then the polynomial can be written as:-

x² – (α + β)x + αβ

x² – (1/4)x + (-1)

4x² – x – 4

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