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If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms. - Mathematics

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प्रश्न

If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

This statement is True.

Explanation:

Let α, β and γ be the zeroes of a cubic polynomial and given that two of the given zeroes have value 0.

Let β = γ = 0 and

p(x) = (x – α)(x – β)(x – γ)

= (x – α)(x – 0)(x – 0)

= x3 – αx2

Which does not have linear and constant terms.

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पाठ 2: Polynomials - Exercise 2.2 [पृष्ठ ११]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
पाठ 2 Polynomials
Exercise 2.2 | Q 2.(iv) | पृष्ठ ११

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