Polynomials

Change of subject of formula; multiplication and division of polynomials; factorization of polynomials of degree not exceeding 3; roots of polynomials not exceeding degree 3; factor and remainder theorems; simultaneous equations including one linear one quadratic; graphs of polynomials of degree not greater than 3.

• Find the subject of the formula of a given equation.
• Apply factor and remainder theorem to factorize a given expression.
• Multiply and divide polynomials of degree not more than 3 and determine values of defined and undefined expressions.
• Factorize by regrouping, difference of two squares, perfect squares and cubic expressions.
• Solve simultaneous equations — one linear, one quadratic.
• Interpret graphs of polynomials including applications to maximum and minimum values.