In class 9th CBSE Maths syllabus , one of the topic is ‘Polynomials’. It includes definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial / equation. State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a1 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.Recall of algebraic expressions and identities. Further identities of the type (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx, (x y)3 = x3 y3 3xy (x y) 3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2-xy – yz – zx) and their use in factorization of. polymonials. Simple expressions reducible to these polynomials.
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