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


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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

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]

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Answers

Answer:

Step-by-step explanation:

C = 1.35n + 15

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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.

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Answers

you answer would be a=-2

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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

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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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]

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

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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

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

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

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Answers

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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.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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