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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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3 years ago
Identify an equation in point-slope for the parallel to y=3/4x-4 that passes through (-1,7)
Nikitich [7]
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4 0
3 years ago
The system of equations is graphed on the coordinate plane.
ehidna [41]

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

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2 years ago
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Zinaida [17]
First you need to find how much 20% of $18.50 is. To do this, you need to multiply 18.50 by 20% which in decimal form is 0.2
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Now you need to subtract $3.70 from $18.50
$18.50-$3.70=$14.80
Now that you have the new price, you need to find 6.75% of it to get the sales tax, so you multiply $14.80 by 6.75%, which is 0.0675 as a decimal.
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$14.80+$1=$15.80 or $14.80+$0.999=$15.799
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Answer:

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