Question

1. The table below shows values of x and some values of y for the curve y=2x³ + x² − 5x + 2 for −3 ≤ x ≤ 2. Complete the table (2 marks)

   X	−3	−2	−1	0	1	2
   y=2x3 + x2 − 5x + 2	−28			2	0

2. On the grid provided, draw the graph of y=2x³ + x² − 5x + 2 for −3 ≤ x ≤ 2 
3.  
   1. Use your graph to solve 2x³ + x² − 5x + 2 = 0   
   2. By drawing a suitable straight line on the graph solve the equation 
      2x³ + x² − 5x + 2 = 6x + 12

Answer 1

1. X	−3	−2	−1	0	1	2	3
   y=2x3 + x2 − 5x + 2	−28	0	6	2	0	12	50

2. 
   
3.  
   1. X_l =–2,1
   2. 2x³ + x² − 5x + 2 = 6x + 12
       y=6x +12
       X_l =–2,−1