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
avanturin [10]
2 years ago
15

What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa

red 2 p 4) (p minus 2) (p 2) (p squared 4)
Mathematics
1 answer:
n200080 [17]2 years ago
3 0

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

p^4 - 16

Let the factor form of the polynomial is f(p). Thus,

f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2

Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

You might be interested in
What is an integer in math​
4vir4ik [10]

Answer:

An integer is any negative or positive number that’s not a fraction. Ex: 1, -3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Make g the subject of the formula in w = 7 - sqrt g​
sukhopar [10]

Answer: g = w² - 14w + 49

w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\g=(7-w)^{2}=49-14w+w^{2}

Step-by-step explanation:

3 0
3 years ago
78% of 68 is what number?
raketka [301]

Answer:

53.04

Step-by-step explanation:

7 0
3 years ago
(5+6b^3)^2 expand and combine like terms
Drupady [299]

Answer:

( 5 + 6b^3)^2 = 36b^6 + 60b^3 + 25

Step-by-step explanation:

(a + b)^2 = a^2 + b^2 + 2ab

So,

        (5 + 6b^3)^2 = (5)^2 + (6b^3)^2 + 2 (5)(6b^3)

                       = 25 + 36b^6 + 60b^3

7 0
3 years ago
Given the function f(x)= 14x^2 + 5x - 1 answer the question if you could change the 14 to any other number, but the rest has to
polet [3.4K]
This is a polynomial of degree 2, and remember that complex roots always come in pairs; therefore, in a second degree polynomial you can only have 0 real roots and 2 complex roots, or 2 real roots and 0 complex roots. There is no way you can have 1 real root and 1 complex root because, as stated before, complex (non-real) roots always come in pairs; so the only way of having 1 real root is dumping the polynomial of degree 2 (14 x^{2}) by changing the 14 to 0. That way we'll left with f(x)=5x-1 which only has one real root:
0=5x-1
5x=1
x= \frac{1}{5}

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which property is shown in the matrix addition below?
    7·2 answers
  • What is 93/5 turned into a decimal?
    8·2 answers
  • Look at the cone above. If r = 6 cm and h = 6 cm, what is the volume of the cone? (Assume = 3.14)
    9·2 answers
  • Betty earns $7.50 per hour at a part-time job. Let x be the number of hours and y be the amount she earns. Betty makes a graph t
    11·2 answers
  • PLZ HELP ME I WILL GIVE U BRAINLIEST!!!
    8·2 answers
  • Andrew made $625 mowing lawns. He worked for 5 consecutive days and earned the same amount of money each day. How much money did
    8·1 answer
  • Just need help 1-3 because it’s not easy
    13·1 answer
  • Ronald McDonald kills 10 kids on Monday and he poised 4 dogs on Tuesday and on Wednesday he drowns 12 babys and on Thursday he b
    8·2 answers
  • Given that 1 inch = 2.54 cm, how many centimeters are there in 5 feet?
    9·1 answer
  • A company that makes​ hair-care products had 9,000 people try a new shampoo. Of the 9,000 ​people, 36 had a mild allergic reacti
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!