Using synthetic division, what is the factored form of this polynomial
x^3+3x^2-13x-15

Answers

Answer 1

Answer:

D.

Step-by-step explanation:

(x-3)(x+1)(x+5)

Answer 2

The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given as,

⇒ x³ + 3x² - 13x - 15

Factorize the polynomial, then we have

⇒ x³ + 3x² - 13x - 15

⇒ x³ - 3x² + 6x² - 18x + 5x - 15

⇒ x²(x - 3) + 6x(x - 3) + 5(x - 3)

⇒ (x - 3)(x² + 6x + 5)

⇒ (x - 3)(x² + 5x + x + 5)

⇒ (x - 3)[x(x + 5) + 1(x + 5)]

⇒ (x - 3)(x + 5)(x + 1)

The factored form of this polynomial x³ + 3x² - 13x - 15 will be (x - 3), (x + 5) and (x + 1).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ5


Related Questions

When I am rounded to the nearest ten, I am 80. The digit in my tens place is 5 more than the digit in my ones place. Who am I?​

Answers

Answer:

81.6

Step-by-step explanation:

8 divided by 5 is 1.6.

Hope this helps! Sorry if it is incorrect :(

Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......

2×2×4÷5-8+10=?​

Answers

Answer:

26/5

Step-by-step explanation:

(2)(2)(4)/5 −8+10

(4)(4)/5−8+10

=16/5−8+10

=−24/5+10

=26/5

Alternate form

5.2


The answer :

26/5

The explanation :

Factor the quadratic
4x^2-9

Answers

Answer:

(2x-3)(2x+3)(identity 3)

Step-by-step explanation:

4hundred 38tens and 18ones. What number am I?

Answers

Answer:

798

Step-by-step explanation:

to get the answer you add 400 + 380 + 18

Answer:

400 + 380 + 18 = 798 :)

the cost of the food that was originally 300 php was reduced to 180 php. what was the percent of the reduction​

Answers

Answer:  60% of 300 is 180

9. Tony bought x boxes of cookies to bring to a party. Each box has 28 cookies. He decides
to keep 2 boxes for himself. He brings 84 cookies to the party.
Which equation can be used to find the number of boxes Tony brought to the party?
A. 2x - 28 = 84
B. 28x - 2 = 84
C. 28x – 56 = 84
D. 56 – 28x = 84

Answers

The correct answer is C. 28x – 56 = 84

Explanation:

Writing an equation using a description or situation involves including all the factors mentioned and relating these appropriately through mathematical symbols. In the case presented, the correct equation is 56 – 28x = 84. This is because this equation includes the total of boxes Tony took to the party 84 and this has been correctly included after the symbol =. Also, the total of boxes is equal to the boxes tony bought each with 28 cookies, which can be represented as 28x (x represents the value of boxes that multiplied by 28 leads to the total of cookies) minus the cookies Tony bought (2 boxes each with 28 cookies). This makes the final equation to be 28x – 56 = 84.

Kirin is saving money to enter a craft fair with his new jewelry business. The entry fee is $150. He sells bracelets for $4 each and he has saved up $36. so far. What is the least number of bracelets he would need to sell to afford the entry fee?​

Answers

Answer:

28.5 equals ab 29 bracelets

Step-by-step explanation:

Answer:

29 bracelets

Step-by-step explanation:

The first thing you (always) need to do is highlight important details. Some things you should highlight are: The entry fee is $150, He makes $4 off of each bracelet, and that he has $36 so far. We know that 4 times 10 is 40. if we add 40+ the 36, we get 76. now we need 74 more dollars, so let's do: 74 divided by 4 = 18.5. since we can't do that, we add one more bracelet to make it 19. This makes sure we get enough money for the fee. All we have to do now is add is together. 10+19= 29 bracelets

Please explain how to solve: 35.15 x 3.7

Answers

Answer:

multiply

Step-by-step explanation:

you multiply them together to get the answer. I do not know how else to explain really.

The local hamburger shop sold a combined total of 552 hamburgers and cheeseburgers on tuesday there werw 52 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday

Answers

Answer:

250 Hamburgers

302 cheeseburgers

Step-by-step explanation:

you sold X number of hamburgers

and x+52 number of cheeseburgers

total was 552

make an equation x+x+52=552

so 2x+52=552

now solve for x

x=250

to find cheeseburgers

(250)+52=302

hamburgeres =x=250

please help this is already late ​

Answers

Answer:

C = 132°

Step-by-step explanation:

(5y + 28) = 12y

5y - 5y + 28 = 12y - 5y

28 = 7y

y = 4

12 (4)

= 48

48 + C = 180°

48 - 48 + C = 180 - 48

C = 132°

1.If mZA = 4x+12 and x = 15, is ZA acute, obtuse, or right? Explain or justify your answer.

2.Given: ZBAM is a right angle. If mZBAM = 4x + 22, then solve for the value of x.

Answers

9514 1404 393

Answer:

acute17

Step-by-step explanation:

1. Put the value of x in the expression and see what the angle measure is.

  m∠A = 4x +12 = 4(15) +12 = 60 +12 = 72

The angle is less than 90°, so is acute.

__

2. The measure of a right angle is 90°, so you have ...

  4x +22 = 90

  4x = 68 . . . . . subtract 22; next, divide by 4

  x = 17

Expression above should be further simplified for which value of X?

Answers

Answer:

D. 329

Step-by-step explanation:

119 can be expressed as the factors of 2 prime numbers: 7 and 17.

There would be no need to further simplify the expression if x does not have one of these factors.

We can check that D is the only one that has one of these factors: 7, since 329/7 = 47.

I hope this helped.

The times for three runners in a 100 yard dash are 9.85 s, 9.6 s and 9.625 s. What is the winning time?

Answers

Answer:

9.6 is first

Step-by-step explanation:

9.6 , 9.625, then 9.85 is the order finished the race, the larger the time (number)  the later they crossed the finish line

Hope this helps : )

please help i need this urgently

Answers

Answer:

Angle YZX = 19.7 degrees

This is the same as saying angle Z = 19.7 degrees

====================================================

Explanation:

Since there are only three letters, and nothing else, we can refer to "angle YZX" as "angle Z" to shorten things. The middle letter is what determines the vertex of the angle.

With Z as the reference angle, side XY = 7.5 is the opposite side. It's the leg furthest from the reference angle. SIde ZY = 22.3 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.

We'll use the sine rule since it connects the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(Z) = XY/ZY

sin(Z) = 7.5/22.3

sin(Z) = 0.336323

Z = arcsin(0.336323)

Z = 19.653008983888

Z = 19.7

In this case, rounding to 3 sig figs means rounding to 1 decimal place (the first two digits are part of the whole number while the last digit is the decimal portion).

Make sure your calculator is in degree mode. The notation "arcsin" refers to arcsine which is the same as inverse sine. Your calculator would likely have the button [tex]\sin^{-1}[/tex] to indicate inverse sine.

Answer:

Degrees: 19.7

Radians: 0.343

Step-by-step explanation:

First, let x = angle YZX.

You can solve this using sine (which as a reminder, is opposite over hypotenuse):

sin(x) = 7.5/22.3

x = arcsin(7.5/22.3)

Now you can grab out a calculator and evaluate.

If it's in degrees: 19.7

If it's in radians: 0.343

(Remember to round to 3 significant figures like the problem said)

I hope this helped you.

r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex]

(rs)(4)

Answers

Answer:

Im not sure

Step-by-step explanation:

but I advise you use a calculator or as an teacher

(5x^2)^3+16y divide 4y for x=2andy=3

Answers

Answer:

30 2/3

Step-by-step explanation:

PLZ SOLVE FAST FOR 800 ROBUX TOO

Answers

Answer:

[tex] x = 22.5[/tex]

[tex]180 - 4x + 2x = 6x \\ x = 180 \div 8 = 22.5 \\ so \: x = 22.5[/tex]

Answer:

22.5

Step-by-step explanation:

username Maxracker1

Help me please please please

Answers

Answer:

I think it would 12 and 14

Question
Solve the following system of equations.
- x² – 3y² = - 12
–4x² - y² = -37
Provide your answer below:
I
I need the exact answer please. There are 8 sets of answers for this question what are they fill in the question mark. I hope I’ll get my answers quickly. Thank you
(?,?),(?,?),(?,?),(?,?)

Answers

Answer:

(3,1)   (3,-1)   (-3,1)   (-3,-1)

Step-by-step explanation:

Find the interest earned on the account

$970 at 4 1/4% simple interest for 2 years​

Answers

the interest is $77.60 i think

Vanessa solved 244 problems in a recent Marathon. She solved four times as many problems as her friend Bethany. What equation could be used to find the correct solution?



A) 244 = 4 B
B) (244) 4 = B
C) 244 B = 4
D) 244 + 4 = B

Answers

Answer:

b

Step-by-step explanation:

Answer:

b) 244*4= b

Step-by-step explanation:

295 X 3 =
What is the distributive property of multiplication

Answers

Answer:

295 x 3 = 885

The distributive property is when you distriute numbers if they are getting multiplied by the same number.

Example:

Original Equation: A(B+C)

Distribute the equation so that B and C are by itself.

New Equation: AxB + AxC

This is distributive property.

Are the given lines parallel? Explain your reasoning.
3. y = 2, y = -4

Answers

Yes, because they will never intersect which means they are always the same distance apart.

Consigna 1: A partir de la siguiente figura construye un octágono regular inscrito
en la circunferencia Describe con claridad el procedimiento empleado y justificalo
PROCEDIMIENTO:
Consigna 2: Traza un cuadrado cuyo perímetro sea 48 cm y su área sea 144 cm.
¿Cuánto suman los ángulos interiores de un cuadrado?
Consigna 3: Traza un hexágono regular que mida 5 cm por lado y después
contesta las preguntas que siguen.
¿Cuánto mide un gulo interior del hexágono regular?
¿Cuál es el área del hexágono que trazaste?

Answers

Answer:

Can you translate it for me?

Step-by-step explanation:

How do I find the value ?

Answers

Answer : 125/27
decimal : 4.629630

Triniti had $500 in a savings account at the beginning of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Triniti’s situation and use w for the number of weeks. How many weeks can Triniti withdraw money in her account?

Answers

Answer:500-25x

Step-by-step explanation:

2. $3 to $2
Find each percent of change

Answers

Answer:

33.33%

Step-by-step explanation:

2/3 = is 33.33%

PLEASE SOLVE! IT'S REALLY EASY, BUT MY BRAIN IS DEAD AT THE MOMENT.

Answers

Answer:

What is the question???

Step-by-step explanation:

What are the two meanings of division for x and y?

Answers

I honestly don’t have a clue

lim x>-1 x^2-x-2/x+1

Answers

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.

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