If α and β are the zeroes of polynomial x square +6x+9 then form a polynomial whose zeroes are -α and -β.
Answers
Answered by
1
first find the roots alfa, beta
factorize the equation
(x+3)(x+3)
therefore, alfa, beta are -3,-3
then -alfa, -beta will be3,3
the equation with roots alfa, beta is
x^2-(alfa+ beta) x + (alfa ×beta)
but given roots are - alfa, -beta
then equation will be
x^2-( -alfa+(-beta)) x+(-alfa ×- beta)
substitute values
then equation will be
x^2+9x+9
factorize the equation
(x+3)(x+3)
therefore, alfa, beta are -3,-3
then -alfa, -beta will be3,3
the equation with roots alfa, beta is
x^2-(alfa+ beta) x + (alfa ×beta)
but given roots are - alfa, -beta
then equation will be
x^2-( -alfa+(-beta)) x+(-alfa ×- beta)
substitute values
then equation will be
x^2+9x+9
Similar questions