Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.

Answers

Answer 1

Answer:

x = 2, x = 4, x = -3

Step-by-step explanation:

GivenP(x) = x3 - 3x2 - 10x + 24One of zeros is x = 2To findAll zerosSolution

x³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:

x³ - 2x² - x² + 2x - 12x + 24 =(x - 2)(x² - x - 12) =(x - 2)( x² - 4x + 3x - 12) =(x - 2)(x - 4)(x + 3)

Other zeros are x = 4 and x = -3


Related Questions

The number of pens sold on Monday, p, increased 45% on Tuesday. The expression p+0.45p represents the number of pens sold on Tuesday. What is another expression that can be used to find the number of pens, p, sold on Tuesday?

Answers

Answer:

1.45p

Step-by-step explanation:

Here, we want to write another expression other than what we have already to represent a 45% increase in the number of pens sold

We simply find 45% of the number of pens sold the previous day

Mathematically, that would be

45/100 * p = 0.45p

we now add this to the sales made the previous day

= p + 0.45p

if we finally add both, we will have p(1 + 0.45)

= 1.45p

y=3/5x+3 in standard form?

Answers

Answer:

3x-5y=-15

Step-by-step explanation:

Select the theorem that proves the triangles congruent. If the triangle cannot be proven congruent, select "not congruent."

Please help! I’ll give brainliest!

Answers

Answer:

A.

Step-by-step explanation:

here Side ES≅WT then Side TS≅WE and then we have to know that because of the reflexive propriety Side ET≅ET so is congruent with itself

therefor SSS

the members of a tennis team have a goal of raising lease $500 for new equipment. They already have $275. The team members plan to raise more money by washing cars. They would charge $5 for each car they wash.
All I need is an equation

Answers

Answer:

$275 x 5y = 500

Step-by-step explanation:

by selling a book for ₹100 a Man gain ₹25 his gain is​

Answers

Answer:

His gain is 25%

Step-by-step explanation:

Given,

Selling Price=Rs 100

Gains=Rs 25

Therefore,

Cost Price= SP - Profit

= Rs 100 - 25

=Rs 75

Thus, profit%=profit/CP *1oo

=25/75*100

=100/3

=33.33....

Para resolver un parto de chocolates iguales de manera que a cada persona le corresponda la misma cantidad y no sobre nada se hizo la cuenta hizo esta cuenta 32%6= 5 indica cuantos chocolates se podrian haber rapartido entre cuantas personas y que cantidad toco cada una

Answers

Solution:

It is given that the ratio of chocolates to people is 32 : 6

It is also given that the quotient is 5. So the remainder number of chocolates is 2.

Thus there are 6 person and 32 chocolates to be distributed.

So each person gets 5 number of chocolates each and the number of chocolates remained is 2. Thus each of 6 persons get 5 chocolates each.

What are the solutions to the equation? x2(x+2)(x+6)=0

Answers

Answer:

x1 = -6, x2 = -2

Step-by-step explanation:

hope this helps :)

Ashley needs to be rise words on a vocabulary list for Spanish class she has never rise 18 of the words which is 2/3 of the list how many words are on the list

Answers

Answer:

i dont understand.

Step-by-step explanation:

15 pounds; grams convert

Answers

Answer:

6803.89

Step-by-step explanation:

What is the domain of Graph 1

Answers

The domain of a fraction is this set of all possible inputs for the function

Ospreys are birds that catch and eat fish. An osprey dived from a height of 36 feet above the surface of a lake to a
depth of 4 feet below the surface. What distance did the osprey travel during that dive?
A-144 feet
B. -9 feet
C. 32 feet
D. 40 feet

Answers

Answer:

C

Step-by-step explanation: 36 is the height. Minus 4 is 32. So ye...

Enter the equation of the line in slope-intercept form.

Slope is 5, and (3, 1) is on the line.

The equation of the line is y

Answers

Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

(b − 1)² + a^2 ; use a = 6, and b = 1

Answers

Answer: The answer is 36

Step-by-step explanation:

*All you have to do is plug those values for A and B so we put 6 for a and b Is 1*

(1-1)^2 + 6^2

1-1 is 0 and 0^2 is 0

6^2 is 36 because 6*6 is 36

Problem 3.2
Jordan is mixing water and flour to make tortillas. The
number of cups of water, w, needed for f cups of flour
is described by the equation w=0.75f.
How many cups of water are needed to mix with 4 cups
of flour?
cups of water

Answers

Answer:

1:1

Step-by-step explanation:

w = f, which means the amount of water equals the amount of flour.

convert 0.25 to percent

Answers

Answer

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

We can make the number 1.00 as 100%. We have to figure out how many times 0.25 goes into 1.00. 0.25 goes into 1.00 4 times. Now, we can divide 100 by 4 to get 25%

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The question is listed in the paper.

Answers

Answer:

0.8 lb rice/ 1qt water is a unit rate for the mix.

Using the unit rate, the cook should mix 10 pounds of rice with 12.5 quarts of water.

These two statements are true the rest are false.

Step-by-step explanation:

Figuring out which statements are true and which statements are false.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

5m + 4 = 7m + 6 solve for m

Answers

Answer: m=-1

Step-by-step explanation:

Whenever a question says "solve" it means that you have to find the constant (m in this case).

You do this by rearranging the equation so that in one side is the constant and the other side the numbers.

5m+4=7m+6 becomes: 5m-7m=6-4

Then: -2m=2

        :  m=-2/2

        :  m=-1

If you have any questions, feel free to ask in the comments I'll be happy to help

(3-i)+(1-2i) =
O 4 - 3i
O 4 +3i
O 4+i

Answers

Answer:

D

Step-by-step explanation:

Answer:

4+i

Step-by-step explanation:

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

Answers

Step-by-step explanation:

Required Answer:-

Let distance travelled by Nichol =x

ATQ

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 8 (3x)=5×3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 24x=15[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{24}{15}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1.6[/tex]

[tex]\therefore[/tex] Nichol runs 1.6miles .

What are the solutions to the quadratic equation 0=(x−4)(x+2)?

Select all that apply.

x=2
x=−2
x=−4
x=0
x=4

Answers

Answer:

x = 4,

x = -2

Step-by-step explanation:

( x - 4 ) ( x + 2 ) = 0

Find out when the equation is 0,

When x = 4,

substitute in 4 for x,

( 4 - 4 ) ( 4 + 2 ) = 0

(0) ( 6) = 0 (any number multiplied by 0 is 0).

When x = -2

Substitue in -2 for x,

( -2 - 4 ) ( -2 + 2 ) = 0

(-6) (0) = 0 (again, any number multiplied by 0 is 0).

I agree ^ this perso is correct

What is the equation of this line?


y=23x

y=32x

y=−32x

y=−23x

Answers

y= 2/3x

Please consider marking brainliest! :)

LaNaysha makes chocolate milk by mixing 5 tablespoons of cocoa powder and 2 cups of milk.

Answers

Answer:

what are we supposed to find?

A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked.
What is the probability of picking an odd number?
Write your answer as a fraction in simplest form
? ?

Answers

There is no way to make this fraction any simpler, hence the solution is: 6/11 as  to calculate the likelihood of selecting an odd number.

what is fraction ?

Mathematical representations of a portion of an entire amount or a ratio between two values are called fractions. It is a means to divide a quantity into equal halves and represent it as a figure that is not always an integer. A vertical or oblique line separating two numbers designates a fraction. The denominator is the value below the line, and the numerator is the number above it. The total number of components in the whole is represented by the denominator, while the numerator is the total number of elements that are being taken into account. For instance, the fraction 3/4 denotes three of every four equally-sized components of a whole.

given

There are a total of 11 balls in the bag, with 6 odd-numbered balls (1, 3, 5, 7, 9, and 11).

In order to calculate the likelihood of selecting an odd number, divide the total number of balls by the number of odd-numbered balls.

6/11

There is no way to make this fraction any simpler, hence the solution is: 6/11 as  to calculate the likelihood of selecting an odd number.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Hi people my question is amazing

Answers

Answer:

c, if wrong sorry

Step-by-step explanation:

Given the following diagram, find the missing measure.
2.
m_1= 30°, m 2 = 45°, m 3 =

Answers

it is 105 degrees because the area of a triangle always adds up to 180

PLEASE HELP 100 POINTS AND BRAINLIEST.



NOW THAT UR HERE, THIS GUY WILL BE IN YOUR HOME TONIGHT SO LOCK THE DOORS :)...................

Answers

Answer:

ok

Step-by-step explanation:

PLEASE HELP ASAP!!! If you want brainiest please don't spam random keys then put that as your answer and please don't say something completely random as your answer. THANKS! :D

Answers

Answer:

I’ll be happy to help, just what is the question?

Step-by-step explanation:

Answer:

Ok!

Step-by-step explanation:

free pic can i please have brainliest

3-(81-2)827x()2-z7221

Answers

Answer:

ree ree

Step-by-step explanation:

what is the answer to this question?

Answers

Choice 1 because each side of the equation will equal zero.
The Awnser is 1 because when using the form (y - y1 = M(x - x1) M is the slope and if putting a negative in turn the subtraction into addition like this problem did although the AWNSER IS 1 good luck I hope I helped

Evaluate the expression | 9 | + | - 2|

Answers

Answer: 11

Step-by-step explanation:

|9| + |-2| =

9 + 2 = 11

Answer:11Hope this helps!!

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