Question

write a quadrical polynomial whose sum of zeroes and product of zeroes are -2 and -3​

Answer 1

Answer:

x²--2x+3 is the quadratic polynomial find it by formula x²-alpha+ betax+ alpha beta

Answer 2

Answer:

$let \: \alpha \: and \: \beta \: be \: zeroes \: of \: the \: polynomial$

Sum of zeroes = -2

$\alpha + \beta = - 2$

Product of zeroes = -3

$\alpha \beta = - 3$

$p(x) = {x}^{2} + ( \alpha + \beta )x + \alpha \beta$

$p(x) = {x}^{2} + ( - 2)x + ( - 3)$

$p(x) = {x}^{2} - 2x - 3$

$the \: quadratic \: equation \: is \: {x}^{2} - 2x - 3$