a. Given a trinomial x 2 + b x + c , if c is positive, then the signs in the binomial factors are either both_______ or both negative. b. Given a trinomial x 2 + b x + c , if c is negative, then the signs in the binomial factors are (choose one: both positive, both negative, different). c. Which is the correct factored form of x 2 − 7 x − 44 ? The product ( x + 4 ) ( x − 11 ) or ( x − 11 ) ( x + 4 ) ? d. Which is the complete factorization of 3 x 2 + 24 x + 36 ? The product ( 3 x + 6 ) ( x + 6 ) or 3 ( x + 6 ) ( x + 2 ) ?
a. Given a trinomial x 2 + b x + c , if c is positive, then the signs in the binomial factors are either both_______ or both negative. b. Given a trinomial x 2 + b x + c , if c is negative, then the signs in the binomial factors are (choose one: both positive, both negative, different). c. Which is the correct factored form of x 2 − 7 x − 44 ? The product ( x + 4 ) ( x − 11 ) or ( x − 11 ) ( x + 4 ) ? d. Which is the complete factorization of 3 x 2 + 24 x + 36 ? The product ( 3 x + 6 ) ( x + 6 ) or 3 ( x + 6 ) ( x + 2 ) ?
Solution Summary: The author explains that if the sign of c is positive, then signs of both binomials will be positive.
a. Given a trinomial
x
2
+
b
x
+
c
,
if c is positive, then the signs in the binomial factors are either both_______ or both negative.
b. Given a trinomial
x
2
+
b
x
+
c
, if c is negative, then the signs in the binomial factors are (choose one: both positive, both negative, different).
c. Which is the correct factored form of
x
2
−
7
x
−
44
? The product
(
x
+
4
)
(
x
−
11
)
or
(
x
−
11
)
(
x
+
4
)
?
d. Which is the complete factorization of
3
x
2
+
24
x
+
36
? The product
(
3
x
+
6
)
(
x
+
6
)
or
3
(
x
+
6
)
(
x
+
2
)
?
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