Question

Find quadratic polynomial if sum & product of its zeroes are 4 , -1.​

Answer 1

x²-4x-1 is the quadratic polynomial

Answer 2

Answer:

$x^{2}$-4x-1

Step-by-step explanation:

Sum ($\alpha$+$\beta$) = 4

Product ($\alpha \beta$) = -1

Polynomial = k(x^2-Sx+P)=0                 [S=Sum and P=Product]

Taking k=1

Polynomial = $x^{2}$-4x+(-1)

=$x^{2}$-4x-1