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Nikolay [14]
2 years ago
10

What are the zeros of the polynomial function f(x) = x3 − 2x2 − 24x?

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
4 0

Answer:

x = 0, x = -4, and x = 6

Step-by-step explanation:

To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:

f(x) = x(x²- 2x- 24)

Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.

f(x) = x( x + 4) (x - 6)

From this, we can derive the zeros x = 0, x = -4 and x = 6.

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4-d= -(d -4 ) -no solution infinitely many solutions -one solutions -two solutions​
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Answer: infinite solutions

Step-by-step explanation: any value of d makes the equation true. By simplifying the right side, we get -d + 4, which is the same as 4 - d, so we essentially get 4 - d = 4 - d.

4 0
3 years ago
An engine is operating at 25% of its full power.which number line shows a point that represents 25%
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2 years ago
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Greeley [361]
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3 years ago
Read 2 more answers
You have 350 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river
IrinaVladis [17]

The length and width that will maximize the area are 175 ft and 87.5 ft respectively

The largest area that can be enclosed is 15312.5 ft²

<h3>Area of a rectangle</h3>
  • area = lw

where

l = length

w = width

The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.

Therefore,

perimeter = l + 2w

350 = l + 2w

l = 350 - 2w

area = (350 - 2w)w

(350 - 2w)w = 0

where

w = 0 or 175

average = 175/2 = 87.5

Hence, the max area is at w = 87.5 ft

Therefore,

l = 350 - 2(87.5) = 175 ft

length = 175 ft

width =  87.5 ft

Therefore,

area = 175 × 87.5 = 15312.5 ft²

Therefore, the largest area that can be enclosed is 15312.5 ft²

learn more on rectangle here: brainly.com/question/11630499

4 0
2 years ago
What is -1.1 repeating as a fraction
Thepotemich [5.8K]

Hey \\ There!

\frac{-1.1}{1} ( \frac{10}{10} )\\ \\ -1.1(10) = -11   \\ \\ 1(10)= 10 \\ \\ \\  Fraction:  \frac{-11}{10} this is also equal to: -1\frac{1}{10}

Your answer would probably be: \frac{-11}{10} =  -1\frac{1}{10}

Good luck on your assignment and enjoy your day! 

~MeIsKaitlyn:)
4 0
2 years ago
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