Given that one of the zeroes of the cubic polynomial ax 3 + bx 2 + cx + d is zero, the product of the other two zeroes is:
(A) − c/a (b) c/a
(c) 0 (d) -b/a
MCQs from NCERT Exemplar
Last updated at April 16, 2024 by Teachoo
Question 7 Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is: (A) − c/a (b) c/a (c) 0 (d) −𝑏/a Let p(x) = ax3 + bx2 + cx + d Given that one zero is 0 ∴ 𝜶 = 0, and we need to find product of other other two zeroes, i.e. 𝜷𝜸 We know that Sum of product of Zeroes = 𝑐/𝑎 𝜶𝜷 + 𝜷𝜸 + 𝜶𝜸 = 𝑐/𝑎 0 × 𝛽 + 𝛽𝛾 + 0 × 𝛾 = 𝑐/𝑎 𝜷𝜸 = 𝒄/𝒂 So, the correct answer is (B)