Question

if x and y are the zeroes of a polynomial such that x+y=-6and xy=5.then find the polynomial. ​

Answer 1

Answer:

If x and y are zeroes of the polynomial

Then,

${x}^{2} - (sum \: of \: the \: zeroes)x \: + (product \: of \: the \: zeroes)$

${x}^{2} - ( - 6)x + 5 \\ = {x}^{2} + 6x + 5 \\ therefore \: the \: required \: polynomial \: is \: </p><p></p><p>{x}^{2} + 6x + 5$