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
Bogdan [553]
3 years ago
14

Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2

Mathematics
2 answers:
nydimaria [60]3 years ago
4 0
Answer-step-by-step

X=2
X=-2
X=-1
JulsSmile [24]3 years ago
4 0

Answer:

x=2, x=-2, and x=-1

Step-by-step explanation:

Function: f(x)=(x-2)(x+2)(x+1)²

We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.

So we have three equations:

1.(x-2)=0

2.(x+2)=0

3.(x+1)²=0

Solve.

1.x-2=0

x=2

2. x+2=0

x=-2

3. (x+1)²=(x+1)(x+1)=0

(x+1)=0

x=-1

(x+1)=0

x=-1

Since those two were the same we can just say x=-1 once.

Here are the three zeros:

x=2, x=-2, and x=-1

hope this helps!

You might be interested in
Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an e
katrin [286]

Question:

Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.

Answer:

It will take 6 days

Step-by-step explanation:

For Jesse:

Rate = 30\ pages/day

This implies that Jesse will cover 30y in y days

For Amir:

Rate = 35\ pages/day

This implies that Amir will cover 35x in x days

Because Amir starts a day later,

y = x + 1

So, we have the following equations:

Jesse = 30y

Amir= 35x

y = x + 1

To get the number of days when they read the same number of pages, we have:

Jesse = Amir

Substitute values for Jesse and Amir

30y = 35x

Substitute x + 1 for y

30(x+1) = 35x

Open bracket

30x+30 = 35x

Collect Like Terms

30 = 35x-30x

30 = 5x

Solve for x

\frac{30}{5} = \frac{5x}{5}

\frac{30}{5} = x

6 = x

x = 6

7 0
2 years ago
Simplify the expression using properties of exponents.<br><br> 12a-9b-4<br><br> 9a2b6
Free_Kalibri [48]
Check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)
5 0
3 years ago
In a recipe of pancake , to make 4 pancakes they need 1/4 pint of milk.If you want to make 14 pancakes , how much milk is needed
Schach [20]
Use proportional relationships to find the answer
4 0
3 years ago
Read 2 more answers
25 tons equals how many pounds?
charle [14.2K]

It equals 50,000 pounds

6 0
3 years ago
Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the marke
swat32

Step-by-step explanation:

A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.

A polynomial in a single indeterminate x can always be written (or rewritten) in the form

{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},

where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.

This can be expressed more concisely by using summation notation:

{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}

That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer

3 0
3 years ago
Other questions:
  • Zoe is planning to adopt 2 pets. She is equally likely to choose a dog or cat for each pet. Zoe modeled her choices with an expe
    15·1 answer
  • What is 30% written in simplest form
    9·2 answers
  • There are 8 and 2 over 3pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 5
    8·2 answers
  • I don't understand how to solve this please help
    11·2 answers
  • The prizes at a carnival tossing game are different stuffed animals. There are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraff
    6·1 answer
  • This year Adeele paid £465 for her car insurance. This is an increase of 20% on last year's payment. How much did Adele pay last
    10·1 answer
  • PLZ HELP ME ASAP :]]]]]
    13·2 answers
  • I need help with these problems
    9·1 answer
  • Which option best shows X &lt; -15<br><br><br><br> Please explain as well, thanks! :)
    6·1 answer
  • John swims 2.5 miles and sees a total of 12 fishes if he swims 8 miles how many fish will he see
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!