Question

Find a quadratic polynomial the sum and product of whose zeroes are ] 3/2 and 1 respectively

Answer 1

Answer:

$\alpha + \beta = \frac{3}{2} \\ \alpha \beta = 1 \\ the \: \: general \: form \: of \: quadratic \: equation \: is \: \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ {x}^{2} - ( \frac{3}{2} )x + 1 = 0\\ \frac{2 { x}^{2} - 3x + 2 }{2} = 0 \\ 2 {x}^{2} - 3x + 2 = 0$