Question

if alpha and beta are the zeros of the polynomial such that alpha + beta is equal to 6 and alphabet is equal to 4 then write the polynomial

Answer 1

alpha + beta = 6

alpha × beta = 4

Therefore,

required polynomial = X²-(alpha+ beta ) X + (alpha × beta) .

= X²-(6)X+ 4

= X²-6X+4

Answer 2

Alpha+beta=6
Beta=6-4=2
So, the polynomial is:
xsq-Sx+P
=xsq-6x+(4*2)
=xsq-6x+8