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astraxan [27]
3 years ago
8

If f(x)=x^3-9x^2+11x+21f(x)=x 3 −9x 2 +11x+21 and x-3x−3 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebra

ically.

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

x = -1, 3, and 7

Step-by-step explanation:

Using grouping:

f(x) = x³ − 9x² + 11x + 21

f(x) = x³ − 9x² + 18x − 7x + 21

f(x) = x (x² − 9x + 18) − 7 (x − 3)

f(x) = x (x − 6) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x − 7) (x − 3)

f(x) = (x + 1) (x − 7) (x − 3)

To use long division, see the picture.

The zeros are x = -1, 3, and 7.

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4 0
3 years ago
What is the simplified form of the following expression 7(3sqrt 2x) - 3(3sqrt 16x) - 3(3sqrt 8x)
zimovet [89]

Answer:   \bold{3\sqrt{2x}-36\sqrt x}

<u>Step-by-step explanation:</u>

7(3\sqrt{2x})-3(3\sqrt{16x})-3(3\sqrt{8x})\\\\=21\sqrt{2x}-9\sqrt{16x}-9\sqrt{8x}\\\\=21\sqrt{2x}-9\cdot 4\sqrt x-9\cdot 2\sqrt{2x}\\\\=21\sqrt{2x}-36\sqrt x-18\sqrt{2x}\\\\=(21-18)\sqrt{2x}-36\sqrt x\\\\=3\sqrt{2x}-36\sqrt x

6 0
3 years ago
Express the following quantities as ordinary decimal numbers: (step by step please)
jenyasd209 [6]

Answer:

a. 0.0000009 m

b. 6,130, 000, 000

c. 100,000 light years

d. 0.00001 mm

e. 0.0000010 kg

Step-by-step explanation:

Here, we want to come from the standard form to the decimal form

In doing this, we consider the power of 10 attached

If negative, we count leftwards, if positive, we count right-wards

The number of times we count is the power of 10 attached. The count means we are moving the decimal point

For numbers with out visible decimal point, it is at the back of the most right-ward number

Thus, we have these as;

a. 9 * 10^-7

= 0.0000009 m

b. 6.130 * 10^9

= 6,130, 000, 000

c. 1 * 10^5

= 100,000 light years

d. 1 * 10^-5 mm

= 0.00001 mm

e. 10^-7

= 0.0000010 kg

8 0
3 years ago
I need help please!!!​
HACTEHA [7]

Answer:

Look below

Step-by-step explanation:

We can start by writing an equation.

Let x be the width. The length would be x+4.

The equation would be:

96=2(x+x+4)

Divide both sides by 2

48=x+x+4

Add like terms

48=2x+4

Subtract 4 from both sides

44=2x

Divide both sides by 2

x=22

x+4=26

The width is 22 inches and the length is 26 inches.

8 0
2 years ago
The owner of a catering company wants to select a random sample of clients to find out about their food preferences.
ELEN [110]

Random sampling is defined as a method of selecting a sample from any population in such a way that every selected sample had a predetermined probability of being selected.

So,the true statements for this scenario are :

The owner chooses 20 of the slips of paper without looking.

The owner sends a survey to all clients whose phone number ends in 5.

8 0
4 years ago
Read 2 more answers
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