Answer:
А.(x-6)(x2 + 6x + 36)
Step-by-step explanation:
Remember this formula for factorizing difference of 2 cubes:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
In
x
3
−
216
,
a
3
=
x
3
b
3
=
216
a
=
3
√
x
3
=
x
b
=
3
√
216
=
6
Substitute
a
=
x
,
b
=
6
into the formula of
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
x
−
6
)
(
x
2
+ (
6
x
x
) +
6
2
)
=
(
x
−
6
)
(
x
2
+
6
x
+
36
)
(
x
−
6
)
(
x
2
+
6
x
+
36
)
is the factorized form of
x
3
−
216
Answer:
nno
Step-by-step explanation:
The answer is -5, -5 added by 5 cancels each other out. Then when you add 4x + 8x, you get 12x. So when you do 12x= -60, you get -5.
Answer:
It would be the square root of 36.
Step-by-step explanation:
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
