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
ryzh [129]
3 years ago
6

Factor completely. x^4-11x^2+28

Mathematics
2 answers:
marissa [1.9K]3 years ago
8 0

Answer:

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

= (x -   \sqrt{7} )(x +  \sqrt{7} )(x - 2)(x  + 2)

Gala2k [10]3 years ago
4 0
Ok umm I think

x^4 - 11x^2 + 28
Write - 11x^2 as a difference
x^4 - 4x^2 - 7x^2 + 28
Factor out x^2 from the expression
x^2 x (x^2 - 4) - 7x^2 + 28
Factor out - 7 from the expression
x^2 x (x^2 - 4) - 7 (x^2 - 4)
Factor out x^2 - 4 from the expression
(x^2 - 4) x (x^2 - 7)
Use a^2 - b^2= (a-b)(a+b) to factor the expression
(x-2) x (x + 2) x (x^2 - 7)
And that’s how it’s (x-2) x (x + 2) x (x^2 - 7) ..... yea and .-.
You might be interested in
What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?
sleet_krkn [62]

9514 1404 393

Answer:

  C.  2x^2 -8x +3 +1/(x +4)

Step-by-step explanation:

Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.

7 0
3 years ago
What is the value of y?
RUDIKE [14]

Answer:

C. 55

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we have:

40 + y + y + 30 = 180

2y + 70 = 180

2y = 110

y = 55

7 0
3 years ago
Read 2 more answers
A two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digi
stealth61 [152]
<h3>Answer:   54</h3>

==============================================

Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

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

Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

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

If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54

7 0
3 years ago
Write an equation that is parallel to the line 4x - y = 2 and passes through the point (-2, 3)
sergeinik [125]
We can start from the given line's coefficients and translate the line from the origin to the given point.
  4(x -(-2)) -(y -3) = 0
  4x +8 -y +3 = 0

The equation of the desired line is ...
  4x -y = -11

_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
  a(x-h) +b(y-k) = 0
which is completely equivalent to
  ax +by = ah +bk

7 0
3 years ago
I meant to put the file but i guess it didnt upload.
Luba_88 [7]

Answer:

8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • On his way out to meet a friend for lunch, David realized that his financial record was not up to date. He notices that he forgo
    8·1 answer
  • Which postulate or theorem proves that these two triangles are congruent,
    6·2 answers
  • Distance between 12 and -5 on a number line
    12·1 answer
  • Not sure how to graph this
    8·1 answer
  • Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plu
    12·1 answer
  • The Distributive Property.<br> 16. 8(3.5)
    6·1 answer
  • Plz help.............................................
    8·1 answer
  • Shannon orders two tacos that cost $3.75 each and a juice that costs $2.55. She gives the cashier a twenty-dollar bill. How much
    6·1 answer
  • Using point-slope form, write the equation of the line that passes through (2, –1) and has a slope of –5.
    8·1 answer
  • How many 34 cup bowls can be made from 30 cups of soup?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!