Question

P(x) =x²-4 and sum of the zeros of the polynomial and products of the zeros of the polynomial

Answer 1

Answer:

Step-by-step explanation:

★ Given :

★ To Find :

The zeroes of the Polynomial .

Sum and product of zeroes .

Verify relationship of zeroes to coefficients .

★ Solution :

➜ Finding zeroes -

So , either

or

So ,

# Zeroes of the Polynomial :

First zero = -2

Second zero = 2

_________________________

# Sum of zeroes = -2 + 2 = 0

# Product of zeroes = -2×2 = -4

_________________________

➜ Verifying Relationship of coefficients and zeroes -

First make the Polynomial in standard form

So , in this equation ,

a = 1

b = 0

c = -4

LHS = RHS Hence Verified !

LHS = RHS Hence Verified !