RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 22 of Multiple Choice Questions (MCQ)

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22

If α, β, γ be the zeros of the polynomial p(x) such that (α + β + γ ) = 3, (αβ + βγ + γ α) = ‒10 and αβγ = ‒24 then p(x) = ?

According to the question,


α, β, γ be the zeros of the polynomial p(x)such that (α + β + γ ) = 3, (αβ + βγ + γ α) = ‒10 and αβγ = ‒24


Thus, p(x) = x3 – (α + β + γ )x2 + (αβ + βγ + γ α)x - αβγ


x3 – 3x2 – 10x + 24


Hence, option C is correct.

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