Question

If f(x) = x(x – 1) (x – 2), find the value of f(0) +
f(-1) + f(2)

Answer 1

Step-by-step explanation:

f(x)=2

x

f(0)=2

0

f(1)=2

1

f(2)=2

2

f(3)=2

3

⇒2

0

,2

1

,2

2

,2

3

......[(a,ar,ar

2

,ar

3

.....)] is a GP with a=1 & r=2

∴f(0),f(1),f(2)...... are in GP

Answer 2

Answer:

f(0)

f(0)=0(0-1)(0-2)

= 0

f(-1)

f(-1)=-1(-1-1)(-1-2)

=6

f(2)

f(2)=2(2-1)(2-2)

=0

f(0)+f(-1)+f(2)

=0+6+0

=6