Q1 of 44 Page 67

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

6x2 – 3 – 7x

p(x) = 0

⇒ 6x2 – 3 – 7x = 0


⇒ 6x2 – 7x – 3 = 0


⇒ 6x2 – 9x + 2x – 3 = 0


⇒ 3x(2x – 3) + 1(2x – 3) = 0


⇒ (2x – 3) (3x + 1) = 0


⇒ and


Hence, and are zeroes of the polynomial 6x2 – 3 – 7x.


Now,









⇒ Product of zeroes = -1/2





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