Question 7 - MCQs from NCERT Exemplar - Chapter 2 Class 10 Polynomials

Last updated at April 16, 2024 by Teachoo

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

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) − 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)

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.

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