(i) (π/6) x + x2−1
(π/6) x + x2−1 = (π/6) x + (1) x2−1
The coefficient of x2 in the polynomial (π/6) x + x2−1 = 1.
(ii) 3x – 5
3x – 5 = 0x2 + 3x – 5
The coefficient of x2 in the polynomial 3x – 5 = 0, zero.
(iii) (x – 1) (3x – 4)
(x – 1)(3x – 4) = 3x2 – 4x – 3x + 4
= 3x2 – 7x + 4
The coefficient of x2 in the polynomial 3x2 – 7x + 4 = 3.
(iv) (2x – 5) (2x2 – 3x + 1)
(2x – 5) (2x2 – 3x + 1)
= 4x3 – 6x2 + 2x – 10x2 + 15x– 5
= 4x3 – 16x2 + 17x – 5
The coefficient of x2 in the polynomial (2x – 5) (2x2 – 3x + 1) = – 16