Mathematics High School

Use synthetic division and the given factor to completely factor the polynomial function.
(x^3+x^2-10x+8)/(x-1)

Answers

Answer 1

Step-by-step explanation:

at first we do synthetic division then we do middle term factorisation

Use Synthetic Division And The Given Factor To Completely Factor The Polynomial Function.(x^3+x^2-10x+8)/(x-1)

Related Questions

Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP

Answers

Answer:

80%

Step-by-step explanation:

150/100*20=$30

150-30=120

120/150=0.8=80%


Taylor's mom said he and his brother could go to a movie while she went shopping,
She dropped them off at the theater at 1:45 and said she would be back at 4:00 to get
them. They had three choices of movies. Which movie could they see and be done
by the time their mom came to get them? Show all your work. Hint: Remember that
there are 60 minutes in an hour.
Length
(Including Previews)
Movie
Start Time
1:55
130 minutes
Beetle goes to Town
2:00
125 minutes
Arctic Adventure

Answers

Answer:

beetle goes to town and artic adventure both end at 3:25 so really it's a gamble

Step-by-step explanation:

(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.

(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.

Answers

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

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3(4x+6)=x-4

Pls look at the picture for the rest of the question thanks!

Answers

Answer:

(x = −2) sentence below

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

11x

11

=

−22

11

x = −2

I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.

Quick! Please help...... this needs to be 20 letters

Answers

Step-by-step explanation:

there you go that is the answer

A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:

Answers

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)

Answers

Option (B) is correct, A factor of f(x) is x+1.

What is function?

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

Function f(x) has one root, which is -1.

Implies that,

for the function f(x),

x = -1,

or (x+1) = 0,

So, (x+1) is the factor of the function f(x).

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can somebody please help, I want to say it's be, but I also think it might be D ​

Answers

Step-by-step explanation:

I think it's option B is the correct answer of this question.

help pls i need help​

Answers

Answer:

The second and third one

Step-by-step explanation:

According to the statement, numbers between 4 and 5 is 4.1 - 4.9

But it is doubled so it is 8.2 - 9.8

These numbers are greater than 8 and less than 9

These numbers are also greater than 9 and less than 10

What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?

Enter your answer in the box.

y =

Answers

Answer:-6

Step-by-step explanation:

The value of the y-intercept is 0.

y = 0

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the given function is:

f(x) = -6 x 7.5x

We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:

f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)

f(x) = -45x + 0

So, the slope of the line is -45 and the y-intercept is 0.

Therefore,

The value of the y-intercept is 0.

y = 0

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No clue what I am doing

Answers

Answer:

1. 1=18°, 2=90°

2. 1=85°

3. 1=97°

4. 2=83°

5. 3=49°

6. 1=94°

7. 4=45°

8. 3=65°

9. 2=79°

10. 5=73°

11. 6=147°

12. 1=26°

13. 2=32°

Step-by-step explanation:

1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.

2. do the same thing as last time, 180 minus 40 and 55.

3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.

4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.

5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.

(This is taking really long to explain so if you have questions just ask.)


True or false ? Is f(x) a function

Answers

yes its a function because its x value only has 1 y value

Answer:

true

Step-by-step explanation:

Is the following equation Linear, Non-linear, or neither
5x +2(x3 - 9) = 132 + 8x?

Answers

Answer:

x = 50

Step-by-step explanation:

5x + 2(3x - 9) = 132 + 8x

5x + 6x - 18 = 132 + 8x

11x - 18 = 132 + 8x

11x - 18 = 8x + 132

11x - 18 + 18 = 8x + 132 + 18

11x = 8x + 150

11x - 8x = 8x - 8x + 150

3x = 150

3x ÷ 3 = 150 ÷ 3

x = 50

Greg bought 28 pounds of sugar for $11.
How many dollars did he pay per pound of sugar?

Answers

Answer:

$2.54

Step-by-step explanation:

You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)

$2.54 but the 54 is repeated so if you want, you can round up to $2.55

Beth is buying 2.6 pounds of coffee beans. If the coffee costs 6.79 per pound, how much will she pay? Round to the nearest cent..

Answers

Answer:

$17.65

Step-by-step explanation:

hope this helped!!

Hi can you please help I’ve been stuck on this question

Answers

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.

  A = LW . . . . . . . . area is length × width

  80 m² = L·(4 m)

  (80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)

The tarp is 20 meters long.

Javier and his family drink 3 gallons of milk each week. Javier drinks 5 quarts of milk each week. How many pints of milk does the rest of his family drink during the week?
A.12
B.14
C.7
D.10

Answers

Answer:

So basically Javier and his family drink a total of 12 quarts of milk each week because 1 gallon of milk is 4 quarts so Javier drinks 5 quarts 12-5=7

which leaves 7 quarts for his family. 2 pints are equal to a quart therefore 14 pints are left for his family

Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.

Answers

Answer:

JKM is not a right triangle because KL + LM ≠ 15.3.

Step-by-step explanation:

Given

[tex]JK = 13[/tex]

[tex]JL = 5[/tex]

[tex]JM = 8[/tex]

Required

Determine if JKM is right-angles or not

Calculate length KL using Pythagoras theorem.

[tex]JK^2 = JL^2 + KL^2[/tex]

[tex]13^2 = 5^2 + KL^2[/tex]

Collect like terms

[tex]KL^2 = 13^2 - 5^2[/tex]

[tex]KL^2 = 144[/tex]

[tex]KL = 12[/tex]

Calculate length LM using Pythagoras theorem.

[tex]JM^2 = JL^2 + LM^2[/tex]

[tex]8^2 = 5^2 + LM^2[/tex]

Collect like terms

[tex]LM^2 = 8^2 - 5^2[/tex]

[tex]LM^2 = 39[/tex]

[tex]LM = \sqrt{39[/tex]

[tex]LM = 6.2[/tex]

[tex]KM = KL + LM[/tex]

[tex]KM = 12 + 6.2[/tex]

[tex]KM = 18.2[/tex]

If JKM is right-angled, then:

[tex]KM^2 = JK^2 + JM^2[/tex]

[tex]KM^2 = 13^2 + 8^2[/tex]

[tex]KM^2 = 233[/tex]

[tex]KM = \sqrt{233[/tex]

[tex]KM = 15.3[/tex]

[tex]15.3 \ne 18.2[/tex]

i.e

[tex]KL + LM \ne 15.3[/tex]

Hence: JKM is not right-angled

Answer:

C-JKM is not a right triangle because KL + LM ≠ 15.3

Step-by-step explanation:

if right mark as brainliest

HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYR

Answers

Answer:

You're answer is c 55/6.

Answer:

C. 55/6

Step-by-step explanation:

It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6

Factorise this pleasee

x2 + 4x -45

Answers

Answer:

(x - 5)(x + 9)

Step-by-step explanation:

Find the GCF of 5y5 and 50y2.

Answers

Answer: [tex]5y^2[/tex]

Step-by-step explanation:

Given

[tex]5y^5\ \text{and}\ 50y^2[/tex]

GCF or HCF of the two is the highest common factor

[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]

It is clear GCF is [tex]5y^2[/tex]

Relationship a is defined by the equation y=9x some values of relationship b are (0,0)(3,34.5)(5,57.5)(8,92) both relationships have a direct proportion between x and y. The rate of change of relationship b is how many units greater then the rate of change of relationship a

Answers

Answer:

The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'

Step-by-step explanation:

The given parameters are;

The function representing relationship 'a' is y = 9·x

Some values of relationship 'b' are;

(0, 0), (3, 34.5), (5, 57.5), and (8, 92)

For direct proportionality of relationship 'b' we have;

y = k₂·x

∴ k₂ = y/x

∴ k₂ = 34.5/3 = 23/2

57.5/5 = 23/2

92/8 = 23/2

k₂ = 23/2

Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x

∴ k₁ = 9

Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?

Answers

Answer:

jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd

Step-by-step explanation:

h

Answer:

h

Step-by-step explanation:

1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?​

Answers

Answer:

4.5 or just say 4 if your gonna round it up. hope this helped :)

Step-by-step explanation:

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

They are vertical

x=32.5

Step-by-step explanation:

75 + 4x-25 = 180

4x = 180+25-75

4x=130

x=32.5

8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X

Answers

Answer:

X - .4x

Step-by-step explanation:

X - .4x = x(1-.4) = .6x

1 -0.4x  These are not like terms so they cannot be combined

X + 0.6 These are not like terms so they cannot be combined

0.6X - X  x( .6-1) = x(-.4) = -.4x

The answer is X+ 0.6 and 0.6-X I think

What is the area of these

Answers

Answer:

g=130 h=22

Step-by-step explanation:

bxh÷2

hope this helps

Calculate the volume of the prism by trst finding the total
cubes that will fill it. There are 8 half-unit cubes in every unit cube,
1 1/4
IN
22
A. Number of half-unit cubes = 10
V= 12 cubic units
B. Number of half-unit cubes = 10
V= 5 cubic units
C. Number of half-unit cubes = 5
V=2 cubic units
D. Number of half-unit cubes = 5
V=12 cubic units

Answers

V cuggbybyyidued vuhbyvby guyvbubu buubbub vrggttvic fgiucviviiv jububbuvuh. Hvuububuvuvh. Gg h. H yy

Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?

Answers

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c:

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