One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)

Answers

Answer 1

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

Answer 2

The other factor of the polynomial (3x+5) and (x-1).

What is long division method?

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).

Using long division method, we get

2x+1|6x³-x²+8x+5|3x²+2x-5

    (-)6x³+3x²

_____________

          -4x²+8x+5

           4x²+2x

_____________

                 10x+5

                -10x-5

_____________

                     0

Now, the factors of quotient 3x²+2x-5 are

3x²+5x-3x-5

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

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

Therefore, the other factor of the polynomial (3x+5) and (x-1).

Learn more about the long division method here:

https://brainly.com/question/29258654.

#SPJ2


Related Questions

What is the hypothesis of the statement?

"I will cook dinner, if I get home before 5:00."


I will cook dinner.

If I get home after 5:00.

I will not cook dinner.

If I get home before 5:00.

Answers

Answer:

if i get home after 5:00

Step-by-step explanation:

there is an IF

Find the midpoint between each pair of points.
(7,-2) and (-4,2)

Answers

Answer:

Midpoint: [tex](\frac{3}{2} ,0 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Define variables

x₁ = 7

x₂ = -4

y₁ = -2

y₂ = 2

Step 2: Plug into midpoint formula

[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]

Step 3: Simplify/Evaluate

[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]

[tex](\frac{3}{2} ,0 )[/tex]

a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need

Answers

Answer:

She will need 1/6 of a cup of sugar to make 1/4 of the recipe.

Step-by-step explanation:

Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:

1 recipe      2/3 cup

------------- = -------------

1/4 recipe         x

Cross multiplying gives us:

1x = (1/4)(2/3), or

x =2/12 or 1/6

She will need 1/6 of a up of sugar to make 1/4 of the recipe.

Pleaseeee help !! I made this a 50 point question

Answers

The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.

Therefore, the answer is 130 degrees

Best of Luck!

answer:

130 degrees

explanation:

the angles "a" & "c" are opposite (also called congruent) so they are the same.

Abigail is driving on a long road trip she currently has 13 gallons of gas in her car each hour that she drives her car is up 1 gallon of gas how much gas would be in the tank after driving for two hours how much gas will be left after T hours

Answers

Step-by-step explanation:

Well, if 1 gallon of gas = 1 hour then

2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and

13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank

Math WILL GIVE BRAINLIEST A. How many different outcomes are represented in your tree diagram?

B. Suppose the three primary colors are red, yellow, and blue. How many outcomes contain at least one primary color?

Answers

Step-by-step explanation:

hello just came here to get likes

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).

Answers

Answer:

graph A in the right answer.

Step-by-step explanation:

I just took the test :)

Answer:

its A.

Step-by-step explanation:

just took the quiz

What is 3.680 divided by 7.86??

Answers

Answer:

The answer is 0.5 since we are rounding to the tenths place

Answer:

0.47 or 0.468 whichever one is better

Step-by-step explanation:

just divide with a calculator

What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO

Answers

you answer would be a=-2

The ordered pair (1,0) is a solution to the inequality y Please select the best answer from the choices provided
T
F

Answers

Ffffffffffffffffffffffffffffffffffffffffff

I need help on this mathematical equation B is the Midpoint of AC.

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

B is the midpoint of AC so AB = BC.

AB + BC = AC

AB + AB = AC

2(AB) = AC

[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]

Expand:

[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\left(3x-1\right)=5(2x+2)[/tex]

[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x-6+6=10x+10+6[/tex]

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]18x-10x=10x+16-10x[/tex]

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{16}{8}[/tex]

[tex]x=2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, we know that the entire segment adds up to 5(2x+2). In other words:

[tex]AB+BC=5(2x+2)[/tex]

Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:

[tex]AB=BC[/tex]

Since we know that, let's substitute BC for AB in the first equation:

[tex]AB+BC=5(2x+2)\\[/tex]

This is equivalent to:

[tex]AB+AB=5(2x+2)[/tex]

Combine like terms:

[tex]2AB=5(2x+2)[/tex]

And since we know that AB is 3(3x-1), substitute:

[tex]2(3(3x-1))=5(2x+2)[/tex]

Now, solve for x.

Distribute the left side:

[tex]6(3x-1)=5(2x+2)[/tex]

Distribute both sides:

[tex]18x-6=10x+10[/tex]

Add 6 to both sides:

[tex]18x=10x+16[/tex]

Subtract 10x from both sides:

[tex]8x=16[/tex]

Divide both sides by 8:

[tex]x=2[/tex]

So, the value of x is 2.

And we're done!

Notes:

You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:

[tex]AB=BC=3(3(2)-1)=15[/tex]

And the entire length AC is:

[tex]AC=2(15)=30[/tex]

Which set of numbers is included in the solution set of 8 - 5x > 23

Answers

Answer:5

Step-by-step explanation: because i had this question before

X square + 5 x + 6 ​

Answers

Step-by-step explanation:

We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)

Let me know what are you looking for regarding this polynomial!

Answer:

(x+2)(x+3)

Step-by-step explanation:

x^2+5x+6

x^2+(2+3)x+6

x^2+2x+3x+6

x(x+2)+3(x+2)

(x+2)(x+3)

Write each sentence using mathematical symbols

The quotient of x and 7 is 5 more than three times

Answers

Answer:

36

Step-by-step explanation:

so basically thats the answer

Name the sets of numbers to which each number belongs

Answers

i need the numbers or the picture of the question before i answer this please

a2+(b−c); a=−8, b=17, c=21

Answers

Answer:

-20

Step-by-step explanation:

a2 + ( b-c)

rewrite the equation

2 * a + ( b - c )

a = -8

b = 17

c = 21

substitute in the given values

(-8) 2 + ( (17) - (21) )

simplify and solve

-16 + ( 17-21)

= -16 +  (-4)

= -16 -4

=-20

The area of a rectangular rug is 25.5 square meters. The width of the rug is 3.75 meters. Found the length of the rug by dividing its area by its width. What is the length in of the​ rug?

Answers

6.8 because 25.5/3.75 = 6.8

I need help with math​

Answers

Answer:

E) |g-540|

Step-by-step explanation:

E) |g-540|

If it weighed a bit over, say 545, you would get |545-540|=|5|=5

If it weight a little under, say 535, you would get |535-540|=|-5|=5

Either way, it tells you how far away from 540 the package is in grams from the desired weight.

Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?

a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4

Answers

Answer:

a

Step-by-step explanation:

y-2/x+3= -4

-4x-12=y-2

y=-4x-12+2

y=4x-10

Simplify the expression using the distributive property. 16m + 4(3m – 2a)+32

Answers

Answer:

16m + 12m - 8a + 32

Step-by-step explanation:

16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis

16m + 12m -8a + 32. multiply

Find the distance between the points (4,10) and (0,0) the answer must be a whole number

Answers

Answer:

d = [tex]2\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]

The student council needs posters for the winter carnival the print shop charges $15 for each print job each poser will cost an additional 1.35 what equation shows the realationship

Answers

Answer:

Step-by-step explanation:

C = 1.35n + 15

Jamine has a half-sheet cake. If she has six friends, how much will each one get?

Answers

Answer:

1 12th (1 over 12)

Step-by-step explanation:

If she had a whole cake it would be 1 6th (1 over 6) of the cake. To get the answer for this do fraction for the amount of food then multiply that by 1 as the numerator and the number of people as the denominator (1 over the # of people). Then the fraction you get as your answer from multiplying that is the fraction or answer to your question. Note this only works with these types of questions. I really hope this helps.

Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?

Answers

2,800 I think please let me know if this is right

A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?

Answers

Answer:

[tex]\boxed {\tt 11.6 \ feet}[/tex]

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.

[tex]135 \ ft^2=s^2[/tex]

We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.

s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{135 \ ft^2} =s[/tex]

[tex]11.61895 \ ft =s[/tex]

Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.

[tex]11.6 \ ft \approx s[/tex]

Each side of the patio is about 11.6 feet.

Use the distributive property to find the product

Answers

Answer:

14mn-12m

Step-by-step explanation:

A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour

Answers

Answer:180

Step-by-step explanation:

What is the exact number of hundreds in 4,575?

Answers

Answer:

45

Step-by-step explanation:

3rd from the left and over r considered 100s

forty five because its 3rd from the left

4(1 - 4r) + 5(r - 7)

Answers

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

find If g(x) = x2 + 2, find g(3). 9 8 11 6

Answers

Answer: 11

Step-by-step explanation: replace x for 3 and solve.

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