1.02k k) Be able to simplify rational expressions. C4 Algebra and (a) simplify rational expressions, including factorising and – Graphs (a) & (b) cancelling Includes factorising and cancelling, and algebraic division by linear expressions. (b) divide a polynomial, of degree not exceeding 4, by a linear polynomial, and identify the quotient and remainder e.g. Rational expressions may be of the form (which may be zero) or . Note that the division by a quadratic polynomial, stated in C4 Algebra and Graphs (b), is not included in the reformed – Learners should be able to divide a polynomial of specification. degree by a linear polynomial of the form , identify the quotient and remainder and solve equations of The solving of equations of degree is implicitly covered in degree . C2 Algebra (a). – The use of the factor theorem and algebraic division may be required. 1.02l l) Understand and be able to use the modulus C3 Algebra and (f) understand the meaning of and use relations such as – function, including the notation , and use relations Functions (f) and in the course of solving equations and inequalities such as and in the course of solving equations and inequalities. e.g. solve 1.02m m) Understand and be able to use graphs of C1 Coordinate – functions. Geometry and The difference between plotting and sketching a Graphs (g), (h) & (i) curve should be known. See section 2b. C3 Algebra and – Functions (d), (e), (g) & (i)
1.02k k) Be able to simplify rational expressions. Includes factorising and cancelling, and algebraic division by linear expressions. e.g. Rational expressions may be of the form or . Learners should be able to divide a polynomial of degree by a linear polynomial of the form , identify the quotient and remainder and solve equations of degree . The use of the factor theorem and algebraic division may be required. C4 – Algebra and Graphs (a) & (b) (a) simplify rational expressions, including factorising and cancelling (b) divide a polynomial, of degree not exceeding 4, by a linear polynomial, and identify the quotient and remainder (which may be zero) Note that the division by a quadratic polynomial, stated in C4 – Algebra and Graphs (b), is not included in the reformed specification. The solving of equations of degree is implicitly covered in C2 – Algebra (a). 1.02l l) Understand and be able to use the modulus function, including the notation , and use relations such as and in the course of solving equations and inequalities. e.g. solve C3 – Algebra and Functions (f) (f) understand the meaning of and use relations such as and in the course of solving equations and inequalities 1.02m m) Understand and be able to use graphs of functions. The difference between plotting and sketching a curve should be known. See section 2b. C1 – Coordinate Geometry and Graphs (g), (h) & (i) C3 – Algebra and Functions (d), (e), (g) & (i)