About Course
POLYNOMIALS
Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and
multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of \(ax^2+bx+c, a≠0\) where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.
Recall of algebraic expressions and identities. Verification of identities:
\((x+y+z)^2=\)\(x^2+y^2+z^2+2xy+2yz+2zx\)
\((x\pm y)^3=\)\(x^3\pm y^3\pm 3xy(x\pm y)\)
\(x^3\pm y^3=\)\((x\pm y)(x^2\mp xy+y^2\)
\(x^3+y^3+z^3-3xyz=\)\((x+y+z)(x^2+y^2+z^2-xy-yz-zx)\)
and their use in factorization of polynomials.
Course Content
Polynomials MCQ Tests
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Polynomials MCQ Test 1
00:00 -
Polynomials MCQ Test 2
00:00 -
Polynomials MCQ Test 3
00:00
Polynomials Subjective Tests
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