Question

Find the zeros of the polynomials and verify the relationship between the zeros and the coefficients.
Question:-t square-15

Answer 1

Answer:

t², -15

t²- 0×t -15

t² -underoot 15

Using property

a²-b² = (a+b) (a-b)

(t+underoot15) (t-underoot15) = 0

t+underoot15 = 0 , t-underoot15 =0

t= -underoot15 t = underoot15

t = -underoot15, underoot15

Verify:-

Sum of zeroes = -underoot15 + underoot15 = 0

Product of zeroes = -underoot15 ×underoot15 = -15

t²- 0×t -15

Sum of zeroes = -b/a = -( -0/1) = 0

Product of zeroes = c/a = -15/1 =-15

Hence verified