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
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Last updated at May 29, 2023 by Teachoo
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
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)