Q1 of 44 Page 67

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

t2 - 15

p(t) = 0

⇒ t2 – 15 = 0


⇒ (t – √15) (t + √15) = 0


⇒ t = -√15 and t = √15


Hence, -√15 and √15 are zeroes of the polynomial t2 – 15.


Now,


Sum of zeroes = -√15 + √15


⇒ Sum of zeroes = -√15 + √15


⇒ Sum of zeroes = 0





Product of zeroes = -√15 × √15


⇒ Product of zeroes = -15





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