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Wednesday, 14 January 2026

What must be subtracted from 16x ^ 3 - 8x ^ 2 + 4x + 7 that the resulting expression has (2x + 1) as a factor? [icse2017]

at January 14, 2026

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Labels: Factors and Remainder theorem

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Integrating (1/(1-cosx)) -(1/(1+cosx)) w.r.t x.

Use the remainder theorem to factorise the following expression: 2x^3+x^2-13x+6. [icse 2010]
If (7m + 2n)/(7m - 2n) = 5/3 ; use the properties of proportion to find:(i) m:n. (ⅱ) (m ^ 2 + n ^ 2)/(m ^ 2 - n ^ 2). [icse 2017]

(i) m:n Given that , (7m + 2n)/(7m - 2n) = 5/3 Applying componendo and dividendo, we get, ((7m + 2n) + (7m - 2n))/((7m + 2n) - (7m - 2n)) =...
Find the values of p and q for which the following system of equations has infinite number of solutions: 2x + 3y = 7 , (p + q) * x + (2p - q) * y = 21 [cbse 10th 2001]

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