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
Elena L [17]
3 years ago
5

The expression x^4-16 is equivalent to the product of (x+2) and p(x) which expression could represent p(x)

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
Easy
differnce of 2 perfect squares
a²-b²=(a+b)(a-b)

in this case
x⁴=(x²)²
16=4²

(x²)²-4²=(x²+4)(x²-4)
x²-4 can be factored since 4=2²
x²-2²=(x+2)(x-2)

complete factored form is
(x²+4)(x+2)(x-2)
gegroup to seperate (x+2)
(x+2)[(x²+4)(x-2)]
(x+2)p(x)

p(x)=(x²+4)(x-2)
expanded
p(x)=x³-2x²+4x-8
You might be interested in
Solve each system of equations by writing a new system that eliminates one of the variables.
Rufina [12.5K]

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

3 0
3 years ago
ms anderson bought 45 baseball hats. Mets hats cost $18 and Yankee hats cost $24. If she spent $1050, how many of each did she b
DerKrebs [107]
First, you have to set up two equations. X + y = 45 18x + 24y = 1,050 To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18. -18x -18y = -810 This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought. Then, you have to substitute 40 for y in the first equation and solve for x.
5 0
3 years ago
plz help this is hard and i cant figure it out ---------------------------------------------------------------------------------
Phantasy [73]

Answer:

2

Step-by-step explanation:

these are alternative interior angles so they are equal to each other (congruent) soooo

9x + 4 = 3x + 16

subtract:

9x = 3x + 12

6x = 12

divide

x = 2

8 0
2 years ago
Can someone help me with this
Snezhnost [94]
All of them specifically?
6 0
3 years ago
Geometry:(<br> *image shown above*
elixir [45]

Answer:

<em>m</em> perpendicular = − 3 /4

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve: VII multiplied by IX. Show your answer in standard form.
    15·1 answer
  • Which expressions are equivalent to the one below?
    12·1 answer
  • Need help ASAP math
    7·1 answer
  • Please select the word from the list that best fits the definition
    13·2 answers
  • The population of Jacksonville in 2018 is estimated to be 19,000 people with an annual rate of increase of 3.4%. Which equation
    14·1 answer
  • It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for
    9·2 answers
  • Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the fir
    8·1 answer
  • The sum of two numbers is 40 and the difference is 16. What are the numbers?
    5·1 answer
  • two triangles have the same heights one triangle has a base that is four times the base of the other triangle are the bases and
    5·1 answer
  • A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!