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kirza4 [7]
3 years ago
14

What is the complete factorization of the polynomial below? x3 + x2 + 4x + 4

Mathematics
1 answer:
suter [353]3 years ago
5 0

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

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(x+2)·2x + (x-1)^2= 2 ?
lisov135 [29]

Answer:

x = 1/3, x = -1.

Step-by-step explanation:

2x(x + 2) + (x - 1)² = 2

Distribute the 2x into x + 2.

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Square (x - 1).

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Combine terms.

2x² + x² + 4x - 2x + 1 = 2

Combine terms again.

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3x² + 2x - 1 = 0

Factor.

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Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.

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Subtract 1 from both sides.

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5 0
3 years ago
Read 2 more answers
Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.
grigory [225]

Answer:

See below.

Step-by-step explanation:

The volume is 1/3 * height * area of the base so we need the height and this area to find the volume. Note: if we join the point S to each of the vertices of the base we get 6 equilateral triangles so knowing the length of a side of the base we can find the area of the base.

The following lengths can be used:

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VU and TW. From VU we can get the area of the base and the length of SW and from the length of TW and SW we can get the height.

TX and WX . From WX we can get the area of the base and the length of SX and from TX and SX we can find the height.

6 0
3 years ago
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Find two integers whose sum is -13 and product is 40
Umnica [9.8K]
Let us say, the numbers are "a" and "b"
their sum is -13
a + b = -13 

their product is 40
a * b = 40 \bf \begin{cases}
a+b=-13\\
a\cdot b=40\implies b=\frac{40}{a}\\
then\\
------------\\
a+\boxed{b}=-13\implies a+\boxed{\frac{40}{a}}=-13
\end{cases}

solve for "a",
what is "b"? well, b = 40/a :)
3 0
3 years ago
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