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Zielflug [23.3K]
3 years ago
14

Complete factorization of x^3+4x^2-20x-48

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

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

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

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Answer:

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Step-by-step explanation:

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Match the solid figure to the appropriate formula.
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1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

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Solution:

1. L \cdot A=\pi r l

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where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

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where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

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Answer:

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Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

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3 years ago
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