Q1 of 44 Page 67

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

4u2 + 8u

p(u) = 0

⇒ 4u2 + 8u = 0


⇒ 4u(u + 2) = 0


⇒ u = 0 and u = -2


Hence, -2 and 0 are zeroes of the polynomial 4u2 + 8u.


Now,


Sum of zeroes = -2 + 0


⇒ Sum of zeroes = -2





Product of zeroes = -2 × 0


⇒ Product of zeroes = 0





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