Question

find the zeros of polynomial f(x)=x²-7 and verify the relationship between its zeroes and the coefficients​

Answer 1

hey here is your answer....

Answer 2

Given

• f(x)=x²-7

To find

• relationship between its zeroes and the coefficients

Solution

we are provided with a polynomial and are asked to find out the relationship between the zeros and the coefficient of the polynomial.

first let us find out the zeros of the polynomial,

x^2 - 7 = 0

or, x^2 = 7

or, x = √7 and x = -√7

now the sum of the zeros would be,

√7 + ( -√7)

or, √7 -√7

or, 0

the sum of the zero is represented by the coefficient of the term containing X which is zero in the given polynomial. Thus, it is holding.

now the product of the zero should be,

√7 × √7

or, 7

This is represented by the constant term of in the given polynomial which is also equal to 7, therefore, we can conclude that this also holds correct.

Hence, our both relationships are correct and are holding.