1.02e e) Be able to complete the square of the quadratic C1 Polynomials (b) carry out the process of completing the square for a – polynomial . (b) quadratic polynomial and use this form, e.g. to locate the vertex of the graph of e.g. Writing in the form in order to find the line of symmetry , the turning point and to determine the nature of the roots of the equation for example has no real roots because . 1.02f f) Be able to solve quadratic equations including C1 Polynomials (d) solve quadratic equations in one unknown – quadratic equations in a function of the unknown. (d) & (f) (f) recognise and solve equations in which are quadratic in e.g. , or some function of e.g. 1.02g g) Be able to solve linear and quadratic inequalities in C1 Polynomials (d) solve linear and quadratic inequalities, in one unknown – a single variable and interpret such inequalities (d) graphically, including inequalities with brackets and fractions. Solving inequalities with fractions is new content in the e.g. , . reformed specification. [Quadratic equations with complex roots are excluded.]
1.02e e) Be able to complete the square of the quadratic polynomial . e.g. Writing in the form in order to find the line of symmetry , the turning point and to determine the nature of the roots of the equation for example has no real roots because . C1 – Polynomials (b) (b) carry out the process of completing the square for a quadratic polynomial and use this form, e.g. to locate the vertex of the graph of 1.02f f) Be able to solve quadratic equations including quadratic equations in a function of the unknown. e.g. , or C1 – Polynomials (d) & (f) (d) solve quadratic equations in one unknown (f) recognise and solve equations in which are quadratic in some function of e.g. 1.02g g) Be able to solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions. e.g. , . [Quadratic equations with complex roots are excluded.] C1 – Polynomials (d) (d) solve linear and quadratic inequalities, in one unknown Solving inequalities with fractions is new content in the reformed specification.