Tricks to solve problem

Basic concepts

Formula derivation,factorization,type of factorization,by common factor,grouping the terms,by making a perfect sqare,

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 ax² + 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
Further verification of identities of the type (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx, (x ± y)³ = x³ ± y³ ± 3xy (x ± y), x³ ± y³ = (x ± y) (x² ± xy + y²), x³ + 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