Question

a (a² + a + 1) + 5 and find its values for

1. a = 0,
2. a = 1,
3. a = − 1.

Answer 1

a (a² + a + 1) + 5a

upon solving this

a × a² + a × a + a × 1 + 5

= a³ + a² + a + 5

1. Putting a = 0 in the above equation,
   a³ + a² + a + 5
   = (0)³ + (0)² + (0) + 5
   = 5
2. Putting a = 1 in the above equation,
   1³ + 1² + (1) + 5
   = 1 + 1 + 1 + 5
   = 8
3. Putting a = −1 in the above equation,
   (-1)³ + (-1)² + (-1) + 5 
   = − 1 + 1 − 1 + 5
   = 4