Question

A real number s is called a zero of the polynomisl. f(x)​

Answer 1

Step-by-step explanation:

A real number 's' is called a zero of the polynomial f(x) if:

$f(s) = 0$

Illustration:

Let f(x) = x²-2x+3

For zero polynomial, f(x)=0

or, x²-2x+3=0

or, x²-3x+x+3=3

or, x(x-3)+1(x-3)=0

or, (x-3)(x+1)=0

or, x=-1,3

Now,

f(-1)=(-1)²-2(-1)+3=0. So, -1 is a zero of polynomial f(x).

Similarly, 3 is also zero of the polynomial f(x).

Thank You!!