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
AlekseyPX
3 years ago
14

The polynomial of degree 4, P ( x ) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = − 4 . It

goes through the point ( 5 , 36 ) . Find a formula for P ( x ) . You may give the answer is factored form.
Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer: P(x) = {(x-4)^2} (x) (x+4)

Step-by-step explanation:

Let's start with the multiplicity of 2;

At multiplicity of 2; x=4.

Therefore, x - 4 is a factor of the function P(x).

Since it has a multiplicity of 2, we will rewrite the factor as (x-4)^2

Now for the multiplicity of 1.

At this multiplicity of 1, x= 0 and - 4.

Therefore, the factors are x-0 and x+4

Since multiplicity of 1, the factors remain as they are without any additional root on top.

Therefore, the factors of the polynomial p(x) are (x-4)^2 and x and x+4.

And solution of P(x) in factor form will be: P(x) = {(x-4)^2} (x) (x+4)

You might be interested in
Simplify 4^3•4^5.<br> help asap !
Julli [10]

Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question

7 0
3 years ago
What is the value to 370
MAXImum [283]

Answer:

Answer is on the pic

Step-by-step explanation:

I hope it's helpful!

5 0
3 years ago
Pleaseeeeeeeeeeeeeee answerr
ELEN [110]

Answer:

The answer is C.  11/29

Step-by-step explanation:

Simplify the left side.

29a - 5 = 6

Move all terms not containing  a  to the right side of the equation.

29a = 11

Divide each term by  29  and simplify.

a =  11 /29

5 0
3 years ago
Factorize 2a^2+7a-15​
loris [4]

\huge\bf  \pink {\underline{Solution :-}}

2 {a}^{2}  + 7a - 15

= 2 {a}^{2}  + 10a - 3a - 15

= 2a(a + 5) - 3(a + 5)

= (a + 5)(2a - 3)

\sf \red{Hence, Answer \:  is  \: (a + 5)(2a - 3).}

\\

\bf \purple{ \underline{ Important  \: Formulas  \: for  \: Factorization :-}}

• \:  {a}^{2}  + 2ab + {b}^{2} =  {(a + b)}^{2}

• \: (a + b)(a - b) =  {a}^{2}  -  {b}^{2}

• \:  {a}^{2} - 2 ab  +  {b}^{2}  =  {(a - b)}^{2}

• \:  {a}^{3}  + 3 {a}^{2} b + 3a {b}^{2}  +  {b}^{3} =  {(a + b)}^{3}

• \:  {a}^{3}   -  3 {a}^{2} b + 3a {b}^{2}   -  {b}^{3} =  {(a  - b)}^{3}

•  \:  {(a + b)}^{2}  +  {(a - b)}^{2}  = 2( {a}^{2}  +  {b}^{2} )

• \: {(a + b)}^{2}   -   {(a - b)}^{2}  = 4ab

• \: (a + b)( {a}^{2}   -ab   +  {b}^{2}  ) =  {a}^{3}  +  {b}^{3}

• \: (a  -  b)( {a}^{2}    + ab   +  {b}^{2}  ) =  {a}^{3}   -  {b}^{3}

• \:   {( \frac{a + b}{2} )}^{2}  - ( {\frac{a - b}{2} } )^{2}  = ab

5 0
3 years ago
Read 2 more answers
Which of these answers best describes the core?
lesya [120]
Full question plzz we need to know what the core is
6 0
3 years ago
Other questions:
  • A bakery packages 868 Muffin into 31 boxes the same number number of work boxe muffins into 31 boxes to say never number of Muff
    10·1 answer
  • What is 135% as a fraction in simplest form
    8·2 answers
  • A training program is used by a corporation to direct hirees to appropriate jobs. The program consists of two steps.
    10·1 answer
  • 2. Lance rode his bike 1/4 of a mile. Catherine rode her bike 1/2 of a mile. To 1 point combine the total amount of miles they r
    8·1 answer
  • Which of the following formulas would find the lateral area of a right cylinder
    7·1 answer
  • Need help on question 22 and 23 , ill give extra points
    13·2 answers
  • 3y=2x+15<br> Write in y=mx+b Form
    14·2 answers
  • Consider quadrilateral FGHJ and its image F'G'H'J'. The dilation is a(n)Immersive Reader
    5·1 answer
  • Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the fol
    7·1 answer
  • There were 75 people at a concert. Twenty five percent of them were younger than 13. How many people were thirteen or younger.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!