1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dem82 [27]
2 years ago
12

Find the factors of f(x) given that x = −3 is a zero.

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0

x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)

You might be interested in
Y= -3x - 1 for x= 5????
adell [148]

Answer:

y= -16

Step-by-step explanation:

Y= -3x - 1

Let x = 5

y = -3(5) -1

y = -15-1

y = -16

7 0
3 years ago
Read 2 more answers
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

8 0
3 years ago
A deep-sea diver dived off a boat to a depth of -45 feet. What is the absolute value that expresses the distance the diver went?
Vlad1618 [11]

45 feet.

Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.

7 0
3 years ago
Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10
laila [671]

Answer:

7x7x7

Step-by-step explanation:

8 0
3 years ago
Numbers AMBER<br> 1<br> Explain how we know V30 lies between 5 and 6.
Anastasy [175]

Answer:

see explanation

Step-by-step explanation:

5² = 25 and 6² = 36

(\sqrt{30} )² = 30

Then

25 < 30 < 36

Thus \sqrt{30} lies between 5 and 6

6 0
3 years ago
Other questions:
  • Help me with these questions , please
    11·1 answer
  • Someone help me plzzzzz
    9·2 answers
  • I’m confused on this one
    14·1 answer
  • Write the series using summation notation<br> -2+1+6+13+22+...
    13·1 answer
  • What is the answer to <br> 1+38*225(12/77)
    8·2 answers
  • Find the principal (positive) square root of 36. If necessary, round the answer to the nearest hundredth (two decimal places).
    14·1 answer
  • Two angles are complementary. One angle is 5 times as large as the other. What is the measure of each angle?​
    10·1 answer
  • Please help!<br> look at the photo (again lol)
    11·2 answers
  • It takes Salma 4 hours to plant a garden.
    6·1 answer
  •  what would be the equation of a line that passes through (3,-4) with slope 2/3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!