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
)
?
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.