(b) 3, 3
\(\frac13\) is a root of the equation 3x2 - 10x + p = 0
⇒ 3 \(\big(\frac13\big)^2\) - 10 x \(\frac13\) + p = 0
⇒ \(\frac13\) - \(\frac{10}{3}\) + p = 0 ⇒ \(-\frac93\) + p = 0 ⇒ p = 3
∴ The equation becomes 3x2 - 10x + 3 = 0
⇒ 3x2 - 9x - x + 3 = 0
⇒ 3x (x - 3) - 1 (x - 3) = 0 ⇒ (3x - 1)(x - 3) = 0
⇒ x = \(\frac13\), 3
∴ p = 3 and the other root = 3.