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Mathematics · May / June 2022 · Paper 21 · Question 27

0580

As printed in the paper

The question as text

The line y x 1 = + intersects the graph of y x x 3 11 2 = - - at the points A and B. Find the coordinates of A and the coordinates of B. You must show all your working. A ( , ) B ( , ) [4]

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme

(–2, –1) and (6, 7) [4]

B3 for x = – 2 and 6 OR 2 − − = +

M1 for x 3 x 11 x 1 or better

M1 for correct method to solve their quadratic e.g. ( )( ) + − x 2 x 6 If 0 scored,

SC1 for one correct pair of coordinates

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