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Question

Which of the following is the zero of the polynomial p(x) = $3x^3$ - $6x^2$ - 5x + 10?

This question was previously asked in
OTET 2026 Social Studies Question Paper (5-Jul-2026)
The correct answer is

2

Grouping: 3x^3-6x^2-5x+10 = 3x^2(x-2) - 5(x-2) = (x-2)(3x^2-5). Setting p(x)=0 gives x=2 as a rational zero (the other roots ±sqrt(5/3) are irrational and not listed).

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