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marusya05 [52]
3 years ago
14

Find a polynomial f(x) of degree 5 that has the following zeros.

Mathematics
2 answers:
kkurt [141]3 years ago
7 0

Answer:

f(x)=(x-9)(x-4)(x+5)^2(x+7)

Step-by-step explanation:

Stels [109]3 years ago
4 0

Answer:

f (x) = (x-4)(x + 5)^2(x-9)(x+7)

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function f (x) = 0

In this case we know that the zeros are:

x = 4,\ x-4 =0

x = 9,\ x-9=0

x = -5, x + 5 = 0 (multiplicity 2)

x = -7,\ x+7=0

Now we can write the polynomial as a product of its factors

f (x) = (x-4)(x + 5)^2(x-9)(x+7)

Note that the polynomial is of degree 5 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 5

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3 years ago
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Answer:

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Step-by-step explanation:

Step 1: FOIL

2x² - 10x + x - 5

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6 0
2 years ago
Read 2 more answers
Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

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Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

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Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

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So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

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So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
PLEASE ANSWER THIS QUESTION <br>Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​
Drupady [299]

Answer:

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liberstina [14]
First plane: 496x
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Hope this helps.</span>
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