8. If one factor of x2 + 12x + 36 is
(x + 6), then its other factor will be
Answers
Answered by
2
Answer:
Because the
x
2
coefficient is
1
we know the coefficient for the
x
terms in the factor will also be
1
:
(
x
)
(
x
)
Because the constant is a positive and the coefficient for the
x
term is also a positive we know the sign for the constants in the factors will both be positive:
(
x
+
)
(
x
+
)
Now we need to determine the factors which multiply to 36 and also add to 12:
1
×
36
=
36
;
1
+
36
=
37
<- this is not the factor
2
×
18
=
36
;
2
+
18
=
20
<- this is not the factor
3
×
12
=
36
;
3
+
12
=
15
<- this is not the factor
4
×
9
=
36
;
4
+
9
=
13
<- this is not the factor
6
×
6
=
36
;
6
+
6
=
12
<- this IS the factor
(
x
+
6
)
(
x
+
6
)
Answered by
1
Step-by-step explanation:
other facter is ( x+6)
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