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Lecture 3 Polynomials Class 9th IX CBSE - Fully Explained 😎
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Click here for Lecture 1 - • Polynomials Class 9 CB...
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In class 9th CBSE Maths syllabus, one of the topic is 'Polynomials'. It includes a definition of a polynomial in one variable, its coefficients, with examples and counterexamples, its terms, zero polynomial. The 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. polynomials. Simple expressions reducible to these polynomials.
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