Question

Find the zeros of each of the following quadratic polynomial and verify the relationship between the zeros and their coefficients:
(vii)f(x) = x² - (√3 + 1)x + √3
(viii) g(x) = a(x² + 1) − x(a² + 1)
(ix) h(s) =2s² - (1 + 2√2)s + 2

Answer 1

SOLUTION IS IN THE ATTACHMENT..

firstly factorise the given polynomial and then put is factor equal to zero to find required zeros and then for verification show that

Sum of the zeroes(α+ β )= −coefficient of x/ coefficient of x².

Product of the zeroes(αβ) = constant term /Coefficient of x².

HOPE THIS ANSWER WILL HELP YOU..

Answer 2

(vii) α = 1, β =√3

(viii) α = a, β = 1/a

(ix) α = √2, β = 1/2