Question

(x+1) (x-2) (x-3) <0

​

Answer 1

1x X 2x X 3x

2x X 3x

6x is not equal to 0

Answer 2

Answer:

(+1)(−2)(−3)<0

Step-by-step explanation:

Explanation:

f

(

x

)

=

(

x

−

1

)

(

x

−

2

)

(

x

−

3

)

=

x

3

−

6

x

2

+

11

x

−

6

is a cubic with positive leading coefficient and zeros of multiplicity

1

at

x

=

1

,

x

=

2

and

x

=

3

.

As a result:

f

(

x

)

is continuous.

f

(

x

)

is positive for large positive values of

x

.

f

(

x

)

is negative for large negative values of

x

.

f

(

x

)

changes sign at each of its zeros.

Hence

f

(

x

)

is non-negative in the intervals

[

1

,

2

]

and

[

3

,

∞

)

graph{x^3-6x^2+11x-6 [-3.397, 6.603, -2.24, 2.76]}