Find all zeros f(x) =x^4-x

0 and 1

Step-by-step explanation:

x=−4,x=0,x=5

Step-by-step explanation:

take out a common factor of

x

2

f

(

x

)

=

x

2

(

x

2

−

x

−

20

)

the factors of - 20 which sum to - 1 are - 5 and + 4

⇒

f

(

x

)

=

x

2

(

x

−

5

)

(

x

+

4

)

to find zeros set

f

(

x

)

=

0

⇒

x

2

(

x

−

5

)

(

x

+

4

)

=

0

equate each factor to zero and solve for x

x

2

=

0

⇒

x

=

0

with multiplicity 2

x

−

5

=

0

⇒

x

=

5

x

+

4

=

0

⇒

x

=

−

4take out a common factor of

x

2

f

(

x

)

=

x

2

(

x

2

−

x

−

20

)

the factors of - 20 which sum to - 1 are - 5 and + 4

⇒

f

(

x

)

=

x

2

(

x

−

5

)

(

x

+

4

)

to find zeros set

f

(

x

)

=

0

⇒

x

2

(

x

−

5

)

(

x

+

4

)

=

0

equate each factor to zero and solve for x

x

2

=

0

⇒

x

=

0

with multiplicity 2

x

−

5

=

0

⇒

x

=

5

x

+

4

=

0

⇒

x

=

−

4

answer: 819.89 miles across america

step-by-step explanation:

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.