jass624
22.02.2021 •
Mathematics
Find the GCF of the terms of the polynomial. ANSWER WITH AN EXPLANATION please im bad at this
4p3 + 12p2 – 18p
A. p
B. 2p
C. 4p
D. 2p^3
Solved
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Ответ:
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
.
Tap for more steps...
1
,
2
,
4
1
,
2
,
4
The factors for
12
12
are
1
,
2
,
3
,
4
,
6
,
12
1
,
2
,
3
,
4
,
6
,
12
.
Tap for more steps...
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
.
Tap for more steps...
−
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
Ответ:
22.5 degrees
Step-by-step explanation:
90 = x + 3x
90 = 4x (divide by 4)
22.5 = x
22.5 + 67.5 = 90