Question

Find the zeros of the polynomial f(x)= x^2 -2 and verify the relationship between the zeros and coefficient​

Answer 1

Answer:

The zeros and coefficients are equal...

Step-by-step explanation:

here a=1,b=0,c=-2

x²-2

(x+√2)(x-√2)

x= √2,-√2

so the zeros of the polynomial are√2 and -√2

let one zero be alpha and another be beta

alpha=√2,beta=-√2

now,

alpha+beta= √2+(-√2)=0

alpha× beta= √2×-√2=-2

As we know

alpha+ beta= -(b/a)

0= -(0/1)

0=0

alpha× beta= c/a

-2=-2/1

-2=-2

...