Hits: 63
Hits: 63 Question The polynomial is given by . a. Use the Remainder Theorem to find the remainder when is divided by . b. Use the Factor Theorem to show that is a factor of . c. i. Express in the form , where b and c are integers. ii. Hence show that the equation has exactly one real root. Solution a. Remainder […]
Hits: 97 Question a. Express in the form , where p and q are rational numbers. b. A curve has equation . i. Find the coordinates of the vertex of the curve. ii. State the equation of the line of symmetry of the curve. iii. Sketch the curve, stating the value of the […]
Hits: 10 Question Solve each of the following inequalities: a. b. Solution a. b. We solve the following equation to find critical values of ; Now we have two options; Hence the critical points on the curve for the given condition are & . Standard form of quadratic equation is; The graph of quadratic equation […]
Hits: 34 Question a. i. Express in the form . ii. Hence write down the equation of the line of symmetry of the curve with equation . b. The curve C has equation and the line L has equation , where k is a constant. i. Show that the x-coordinates of any points of intersection of the curve C with the […]