Question

Is 2 a root of x2-4x+5=0

Answer 1

if any number is the root of the polynomial then the remainder comes zero

we have ask that 2 is the root of the polynomial x^2 -4x +5

so we put the value of 2 in p(x)

p(x) = x^2 -4x +5

p(2) = 2^2 -4*2 +5

      = 4-8+5

      = 9 - 8

     = 1

so our remainder don't comes zero this means that 2 is not the root of the polynomial