Question

find the quadratic polynomial whose sum and product of zeroes are 4,1 respectively​

Answer 1

$sum \: of \: numbers = \alpha + \beta = 4 \\ product \: of \: numbers = \alpha \beta = 1 \\ x2 + x( \alpha + \beta ) + \alpha \beta \\ x2 + x(4 + 1) + 4 \times 1 \\ x2 + x(5) + 4 \\ x2 + 5x + 4$