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3 years ago

A polynomial has zeros x=0, x= -3, X = 4. What are some possible factored equations for this fourth degree polynomial.

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

$x^{2} (x + 3)(x - 4)$

Step-by-step explanation:

You can multiply this out to get the full equations.

It's to the 4th degree so the x on the outside has to be squared to add the fourth degree.

To get other zeros:

x + 3 = 0

x = -3

x - 4 = 0

x = 4

Hope this helped. :0)

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Step2247 [10]

Answer:

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1 year ago

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3 years ago

Point M is the midpoint of segment AB. AM=3x+40 and MB=x^2. Find x and AB

Nina [5.8K]

$\text{Hello there! :)}$

$x = 8\\\\AB = 128 \text{ units}$

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$\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\$

$\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\$

$\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40$

$\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8$

$\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8$

$\text{Substitute in this value of x into either AM or MB to solve for AB:}$

$AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}$

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3 years ago