Question

If a and B are the zeros of the polynomial p(x) = 3x²- 12x +15, find the value of a²+ B²​

Answer 1

Here a +ß = -b/a = -12/3=-4

and ,

aß = c/a = 15/3 =5

So,

=>(a +ß)^2 = a^2+ß^2 +2aß

=>(-4)^2 = a^2+ß^2 +2×5.

=>a^2+ß^2 = 16-10.

.°. a^2+ß^2=6.