Classes IX & X Mathematics

Chapter 2: Polynomials

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Key Formulas & Equations

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Factor Theorem

P(c) = 0 \Rightarrow (x-c) \text{ is a factor}

If polynomial at c evaluates to zero, then (x-c) divides the polynomial.

Cubic Expansion Identity

sin θcos θθ
(a+b)^3 = a^3 + b^3 + 3ab(a+b)

Algebraic expansion for cubic binomial sums.

Related Formulas from Adjacent Chapters

Origin coordinates

O = (0, 0)

[From Coordinate Geometry] Intersection point of horizontal and vertical axis lines.