Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
3x2 – x – 4
p(x) = 0
⇒ 3x2 – x – 4 = 0
⇒ 3x2 + 3x – 4x – 4 = 0
⇒ 3x(x + 1) –4(x + 1) = 0
⇒ (x + 1)(3x – 4)= 0
Hence, -1 and 
are zeroes of the polynomial 3x2 – x – 4.
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