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
lions [1.4K]
3 years ago
12

Select all the factors roots of x^3 +2x^2-16x-32

Mathematics
2 answers:
Ivanshal [37]3 years ago
5 0

Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.

x^3 + 2x^2 - 16x - 32

(x^3 + 2x^2) + (-16x-32) ... pair up terms

x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group

x^2(x + 2) - 16(x + 2) ... factor -16 from the second group

(x^2 - 16)(x + 2) .... factor out (x+2)

(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16

---------------------------

The original expression completely factors to (x - 4)(x + 4)(x + 2)

The three factors are x - 4  and  x + 4   and   x + 2

solmaris [256]3 years ago
5 0

The answers are b) -2, c) -4, and e) 4.


You might be interested in
Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.
NikAS [45]

Answer:

x = 5

Step-by-step explanation:

Given equation as:

\frac{2^2x}{2^{x+5}} = 1

now,

writing each side as power of 2

2⁰ = 1

therefore,

\frac{2^2x}{2^{x+5}} = 2⁰

also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted

therefore,

2^{2x-(x+5)}  = 2⁰

now for the equality the power of 2 both sides should be equal

thus,

⇒ 2x-(x+5) = 0

or

⇒ 2x = x + 5

or

⇒ 2x - x = 5

or

⇒ x = 5

7 0
3 years ago
nerissa has 5 pink bows,1 blue bow ,and 4 purple bows in a box she will randomly choose 1 bow from the box. what is the probabil
Colt1911 [192]

Answer:

she has a 4/10 chance she will pick purple bow or 2/5. 40% chance.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Write a numerical expression to represent the phrase.<br><br> the difference of 4 cubed and 25
7nadin3 [17]

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

3 0
2 years ago
Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad
stealth61 [152]

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

  • Principle Amount P = $440
  • Accrued Amount A = $640
  • Interest rate r = 5.6% = 0.056
  • Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

4 0
2 years ago
3. -1867-6(171-6)+5<br> Do y’all know the answer ?
olchik [2.2K]

Answer:

- 2852

Step-by-step explanation:

- 1867 - 6( 171 - 6) =  - 2857 \\  - 2857 + 5 =  - 2852

DO NOT FORGET THE BODMASS law

3 0
3 years ago
Other questions:
  • MNOP is a square.what are the values of t and f?
    9·2 answers
  • What is the equation of the line that passes through (3,4) and is perpendicular to y=-2x-4
    5·1 answer
  • What is -5.1982569 to the nearest hundredths
    5·2 answers
  • Find the value of x.
    10·1 answer
  • An isosceles right triangle has a hypotenuse of length e. Select all that are true for the triangle.
    10·1 answer
  • Which expression can be used to check the answer to 56 divided by (negative 14) = n?
    14·2 answers
  • 120-75+105 please do it in order
    6·2 answers
  • Chris wrote the following checks: $19, $25, $5, and $100. He began with $255 in his
    6·1 answer
  • 10. Write the equation of the line that is perpendicular to the line y = -1/5x +9 and passes through the point (-2,-2).
    13·1 answer
  • Molly's family is moving to a new home overseas. They will send their car two thousand miles across the ocean in a shipping cont
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!