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avanturin [10]
1 year 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]1 year 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

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What is -5x + 15 = 35 - 10x
dezoksy [38]

Answer:

   x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -5*x+15-(35-10*x)=0

Pull out like factors :

             5x - 20  =   5 • (x - 4)

_________________________________________

Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

_________________________________________

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

3 0
3 years ago
Read 2 more answers
The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Make an equation that would equal to 6, numbers u can use is 4,9,1,5
steposvetlana [31]
Write down : 2, +, 3 + 1
8 0
3 years ago
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For brainiest:):):):):):):):)
Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made 9+6=15 shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

P(making a shot)=\frac{9}{15}=\frac{3}{5}=0.6

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

P(making a shot)+P(missing a shot) =1

P(missing a shot)=1-P(making a shot)

P(missing a shot)=1-0.6=0.4

QED

3 0
3 years ago
how many ways can you order your favorite dessert from a menu of 8? A.) 6 B.) 40,320 C.) 6720 D.) 336​
Radda [10]

Can you tell me what do you mean exactly by menu of 8, so i can help you.

8 0
3 years ago
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