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
Aleks04 [339]
3 years ago
7

1.What are the zeros of the polynomial function?

Mathematics
1 answer:
Lorico [155]3 years ago
7 0
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.


You might be interested in
A toy rocket is launched straight up into the air with an initial velocity of 60ft/s from a table 3 ft above the ground. If acce
Sav [38]
For this case we have the following equation:
 h (t) = at ^ 2 + v * t + h0
 Substituting values we have:
 h (t) = - 16 * t ^ 2 + 60 * t + 3
 We equate the equation to zero:
 -16 * t ^ 2 + 60 * t + 3 = 0
 We look for the roots of the polynomial:
 t1 = -0.04935053979258153
 t2 = 3.7993505397925817
 We are left with the positive root and round:
 t2 = 3.8 s
 Answer:
 
t = 3.8 s
 
option 3
5 0
4 years ago
Find the area of a circle with a radius of 7.
Mashutka [201]

Step-by-step explanation:

area of circle= πr²

3.14×7×7

153.86 is the required area

6 0
3 years ago
Today, everything at a store is on sale. The store offers a 20% discount. The regular price of a T-shirt is $18. What is the dis
irga5000 [103]

Answer:

is $14.40.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to
klasskru [66]
A² = c² - b²
a² = 21² - 13 ²
a² = 441 - 169
a² = 272
a = √272 = 16.49242 ≈ 16.49
Answer : D ) 16.49
5 0
3 years ago
Read 2 more answers
12=5x-13x-44. answer it in multi-step equations
fomenos

12=5x-13x-44

combine like terms

12 = -8x -44

add 44 to each side

12+44 = -8x

56= -8x

divide by -8 on each side

56/-8 = x

-7 =x


5 0
3 years ago
Read 2 more answers
Other questions:
  • Find each sum.<br> 1) (-7)+1
    8·2 answers
  • How can I calculate the height of a triangle without having the base?
    7·1 answer
  • Which of the following trig expressions could be used to find m&lt;7?
    5·1 answer
  • what is the first step in writing f(x)=6x^2+5-42x in vertex form? a) factor 6 out of each term. b) factor 6 out of the first two
    8·1 answer
  • I believe I know the answer but, I need a second opinion.
    10·1 answer
  • Find: (4x^2y3 + 2xy2 – 2y) – (-7x^2y3 + 6xy2 – 2y)
    8·1 answer
  • Jae Li creates this solid wooden sculpture for an art project.
    6·2 answers
  • 40 percent of the people in the club are new this year if there are 12 be people how many people are in the club
    8·2 answers
  • Help pls I’ll give extra points
    6·1 answer
  • A^0= ? please help.. I will mark as brillent​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!