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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Transcript

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) βˆ’ c/a (b) c/a (c) 0 (d) βˆ’π‘/a Let p(x) = ax3 + bx2 + cx + d Given that one zero is 0 ∴ 𝜢 = 0, and we need to find product of other other two zeroes, i.e. 𝜷𝜸 We know that Sum of product of Zeroes = 𝑐/π‘Ž 𝜢𝜷 + 𝜷𝜸 + 𝜢𝜸 = 𝑐/π‘Ž 0 Γ— 𝛽 + 𝛽𝛾 + 0 Γ— 𝛾 = 𝑐/π‘Ž 𝜷𝜸 = 𝒄/𝒂 So, the correct answer is (B)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.