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
lyudmila [28]
3 years ago
8

Khan Academy

Mathematics
1 answer:
Pavel [41]3 years ago
4 0

Answer:

Rewriting p(x) as a product of linear factors: \mathbf{f(x)=(x+3)(x-2)(x+6)}

Step-by-step explanation:

The polynomial p(x) = x^3 + 7x^2 - 36 has a known factor of (x + 3)

We need to find other factors.

First we find quotient of  p(x) = x^3 + 7x^2 - 36 divided by (x + 3)

The division is shown in image attached.

The quotient is: x^2+4x-12

Now, factoring the quotient x^2+4x-12

x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)

The other two factors are (x-2)(x+6)

So, Rewriting p(x) as a product of linear factors: f(x)=(x+3)(x-2)(x+6)

You might be interested in
NEED HELP FAST PLZ!!
Rudik [331]

Answer:

no clue

Step-by-step explanation:

!!!!!!!!!!!

8 0
3 years ago
Please helppppp 20 points
amm1812
I believe the answer is D since it’s not negative it won’t go down it’ll be going up and since it has 0.25 the distance is getting smaller
7 0
3 years ago
1.What are the zeros of the polynomial function?
Lorico [155]
Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
______________

Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________


To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9


Well, this would be your answers.


7 0
4 years ago
(3 x 62) - 25 + n = 166
boyakko [2]

Step-by-step explanation:

the answer is 5

^^^^^^^^^^^^^^^^

4 0
3 years ago
Read 2 more answers
The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is th
Marina86 [1]

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

x\times (x+8)=65

x^2+8x=65

x^2+8x-65=0

Splitting the middle term, we get

x^2+13x-5x-65=0

x(x+13)-5(x+13)=0

(x-5)(x+13)=0

Using zero product property, we get

x-5=0 and x+13=0

x=5 and x=-13

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

8 0
3 years ago
Other questions:
  • A rhombus has a base of 8 centimeters and a height of 4.2 centimeters. What is its area? Do not round your answer.
    5·1 answer
  • 3x-2y+4z=35 <br> -4x+y-5z=-36 <br> 5x-3y+3z=31
    7·1 answer
  • The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t
    5·2 answers
  • Estimate the perimeter of the figure the length of one side of each square represents 1 ft
    12·2 answers
  • PLEASE HELP&lt; BEST ANSWER WILL GET MARKED BRAINIEST The stadium is at (-2,3) and the high schools (1,8). What is the shortest
    12·1 answer
  • Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
    12·1 answer
  • Write a real-world problem given the equation 2/3x = 12. Then solve the equation.
    11·1 answer
  • A tank with water is shown. What is the volume of the empty space in the<br> tank?*
    5·2 answers
  • Help please please I need the answer Quick!
    14·1 answer
  • Dado el triángulo de vértices en A(-10, -13); B(-2,3) y C(2,1); Hallar la longitud de la perpendicular bajada desde el vértice B
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!