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vagabundo [1.1K]
3 years ago
11

Solve by factoring 6x^3 - 16x^2 - 32x = 0. Enter your work

Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0

Answer:

Step-by-step explanation:

The common factor is 2x

2x(3x^2 - 8x - 16)

(x - 4)(3x+4)*2x = 0

x = 2

x = 4

x = -4/3

This does not graph too awfully well, but at least it givens you a notion of the roots.

Rashid [163]3 years ago
5 0

Hey there! :)

Answer:

x = -4/3, 0, 4.

Step-by-step explanation:

Starting with:

6x³ - 16x² - 32x = 0

Factor out the greatest common factor between each term, or 2x:

2x(3x² - 8x - 16) = 0

Factor the expression inside the parenthesis:

2x(3x +4)(x - 4) = 0

Use the Zero Product Property to solve the equation:

2x = 0

x = 0

---------

3x + 4 = 0

3x = -4

x = -4/3

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

x - 4 = 0

x = 4

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

Therefore, the solutions to this equation are:

x = -4/3, 0, 4.

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4 years ago
Jethro is planting flowers in his garden. He wants the ratio of tulips to roses to be 3 to 2. Jethro wants to plant a total of 5
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A quadratic function is a function that has a degree of 2. This shows that there will be about 72 births for month 8

<h3>Quadratic functions</h3>

A quadratic function is a function that has a degree of 2. Given the quadratic function shown:

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In order to use the function to predict the number of births for month 8, we will substitute x = 8 into the function as shown:

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