Figure 1 q(0) = so = q(x) intersects at (0, B1ft y y-axis −20, and labelled (accept incorrect x-intercepts −20) values from part a). = p(x) intersects B1 y y-axis at (0, 3). = p(x) intersects B1 y x-axis at (6, 0). Graphs drawn as shown with all axes intercepts B1 labelled. The two graphs should clearly intersect at two points, one at a negative value of and one at a positive value of These x x. points of intersection do not need to be labelled. (4 marks) Statement indicating that this is the point where p(x) = q(x) M1 or seen. Their equation factorised, or attempt to solve their equation by completing the square. M1 2x2 46 = 0 −19x – (2x 23)(x + 2) = 0 – A1 A1 (4 marks) < 2 or o.e. B1 x – B1 NB: Must or (if missing SC1 for just the correct inequalities). see “or”
Figure 1 q(0) = −20, so y = q(x) intersects y-axis at (0, −20) and x-intercepts labelled (accept incorrect values from part a). B1ft y = p(x) intersects y-axis at (0, 3). B1 y = p(x) intersects x-axis at (6, 0). B1 Graphs drawn as shown with all axes intercepts labelled. The two graphs should clearly intersect at two points, one at a negative value of x and one at a positive value of x. These points of intersection do not need to be labelled. B1 (4 marks) Statement indicating that this is the point where p(x) = q(x) or seen. M1 Their equation factorised, or attempt to solve their equation by completing the square. 2x2 −19x – 46 = 0 (2x – 23)(x + 2) = 0 M1 A1 A1 (4 marks) x < – 2 or o.e. B1 NB: Must see “or” or (if missing SC1 for just the correct inequalities). B1
19725_02_as_pure_mathematics_practice_paper_a_mark_scheme.docx