Question

find a quadratic polynomial the sum of whose zeros is 8 and their product is 12find the zeros of the polynomial​

Answer 1

=k(x²-(α+β)x+αβ)

=k(x²-8x+12)

here k=1

=x²-8x+12

=x²-2x-6x+12

=x(x-2)-6(x-2)

=(x-2)(x-6)

⇒x-2=0 or ⇒x-6=0

⇒x=2 or ⇒x=6