Question

Find the GCF of the terms of the polynomial. ANSWER WITH AN EXPLANATION please im bad at this

Answer 1

Answer:2p

Step-by-step explanation: Find the common factors for the numerical part:

4

,

12

,

−

18

4

,

12

,

-

18

The factors for

4

4

are

1

,

2

,

4

1

,

2

,

4

.

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1

,

2

,

4

1

,

2

,

4

The factors for

12

12

are

1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

.

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1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

The factors for

−

18

-

18

are

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

.

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−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

List all the factors for

4

,

12

,

−

18

4

,

12

,

-

18

to find the common factors.

4

4

:

1

,

2

,

4

1

,

2

,

4

12

12

:

1

,

2

,

3

,

4

,

6

,

12

1

,

2

,

3

,

4

,

6

,

12

−

18

-

18

:

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

-

18

,

-

9

,

-

6

,

-

3

,

-

2

,

-

1

,

1

,

2

,

3

,

6

,

9

,

18

The common factors for

4

,

12

,

−

18

4

,

12

,

-

18

are

1

,

2

1

,

2

.

1

,

2

1

,

2

The GCF for the numerical part is

2

2

.

GCF

Numerical

=

2

GCF

Numerical

=

2

Next, find the common factors for the variable part:

p

3

,

p

2

,

p

p

3

,

p

2

,

p

The factors for

p

3

p

3

are

p

⋅

p

⋅

p

p

⋅

p

⋅

p

.

p

⋅

p

⋅

p

p

⋅

p

⋅

p

The factors for

p

2

p

2

are

p

⋅

p

p

⋅

p

.

p

⋅

p

p

⋅

p

The factor for

p

1

p

1

is

p

p

itself.

p

List all the factors for

p

3

,

p

2

,

p

1

p

3

,

p

2

,

p

1

to find the common factors.

p

3

=

p

⋅

p

⋅

p

p

3

=

p

⋅

p

⋅

p

p

2

=

p

⋅

p

p

2

=

p

⋅

p

p

1

=

p

p

1

=

p

The common factor for the variables

p

3

,

p

2

,

p

1

p

3

,

p

2

,

p

1

is

p

p

.

p

The GCF for the variable part is

p

p

.

GCF

Variable

=

p

GCF

Variable

=

p

Multiply the GCF of the numerical part

2

2

and the GCF of the variable part

p

p

.

2

p