8. If one factor of x2 + 12x + 36 is(x + 6), then its other factor will be About the author Samantha
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 ) Reply
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
)