Question

Iftwo zeroes of the polynomial x 3 -4x 2 -3x+12 are root 3 and -root 3

Answer 1

If two zeroes are √3 and -√3
so, the factor will be
(x-√3)(x+√3) =0
⇒x²-3=0

now, dividing the expression with this,

x²-3)x³-4x²-3x+12( x-4
       x³      -3x
     -          +
          -4x²+12
          -4x²+12
          +    -
            0     0

so,x³-4x²-3x+12 = (x²-3)(x-4)