Question

Which of √2and 2 are the zeros of the polynomial p(X)=x^3-2x?why? Prove

Answer 1

Answer:

root 2 is the zero of the soln

Step-by-step explanation:

p(x)=x^3-2x

p(root2)=(root2)^3-2(root2)

           =2(root2)-2(root2)

           =0

where as

p(2)=(2)^3-2(2)

     =8-4

     =4

hope this was helpful

Answer 2

Answer

while you SUBSTITUTE given values ASSUMING IT AS X

EQUATE IT TO 0 further

By substituting root 2 u will get 0=0 which is an universal fact that even a kid will say.

when u substitute 2 the equality will not satisfy

by this we can say that root 2 is the zero the given equation and 2 is not its root

proof:

        = x(x square -2)

        use the formulae

          -b±√b²-4ac÷2a

     we will get the roots