- Degree of a polynomial
- Coefficients
- Monomials, Binomials etc.
- Constant, Linear, Quadratic Polynomials etc.
- Value of a polynomial for a given value of the variable
- Zeroes of a polynomial
- Remainder theorem
- Factor theorem
- Factorisation of a quadratic polynomial by splitting the middle term
- Factorisation of algebraic expressions by using the Factor theorem
- Algebraic identities –

- (x + y) 2 = x2 + 2xy + y2
- (x – y)2 = x2 – 2xy + y2
- x2 – y2 = (x + y) (x – y)
- (x + a) (x + b) = x2 + (a + b) x + ab
- (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
- (x + y)3 = x3 + 3×2 y + 3xy2 + y3 = x3 + y3 + 3xy (x + y)
- (x – y)3 = x3 – 3×2 y + 3xy2 – y3 = x3 – y3 – 3xy (x – y)
- x3 + y3 = (x + y) (x2 – xy + y2 ) x3 – y3 = (x – y) (x2 + xy + y2 )
- x3 + y3 + z3 – 3xyz = (x + y + z) (x2+ y2 + z2– xy – yz – zx)

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