Given x^2 -4x+4 is a factor of the polynomial 2x^4 - 11x^3 +68x-80, completely factor the polynomial using algebraic methods.​

Answers

Answer 1
Answer:

2x^4-11x^3+68x-80

2x^4-4x^3-7x^3+14x^2-14x^2+28x+40x-80

2x^3(x-2)-7x^2(x-2)-14x(x-2)+40(x-2)

(x-2)(2x^3-7x^2-14x+40)

(x-2)(2x^3-4x^2-3x^2+6x-20x+40)

(x-2)(2x^2(x-2)-3x(x-2)-20(x-2))

(x-2)(x-2)(2x^3-3x-20)

(x-2)(x-2)(2x^2+5x-8x-20)

(x-2)(x-2)(x(2x+5)-4(2x+5))

(x-2)(x-2)(2x+5)(x-4)

(x-2)^2(2x+5)(x-4)

Related Questions

What is the y-intercept of the line?

Answers

Answer:

(0 ; 1)

Step-by-step explanation:

Have a great day

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

You can tell by looking at the y-axis (vertical line.)

At part of an hour passes between 3:12pm an 4:30pm
Help

Answers

Answer:

1h 18min

Step-by-step explanation:

Not sure if that is what the problem is asking you.

Answer:

An 1 hour and 18 minutes

Step-by-step explanation:

Yes uhmmm hope this helps I guess

16
78 x 30
V3 x 18 x 39
24 x 26
17
1
1
18 V3
13 + 1
3
27​

Answers

Answer:

do you just add and multiply all of them?

Step-by-step explanation:


The value of y is directly proportional to the value of x.If y when x = 40, what is the value of y when x = 140?

Answers

Answer:y=14

Step-by-step explanation:

A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the
number of days, t, since the shipment arrived. Here is a table showing some values of d
Calculate the average rate of change for the following intervals:
a. day 0 to day 5

b. day 15 to day 20
t d(t)
0 2,000
5 1,283
10 823
15 528
20 338

Answers

The average rate of change:

a. -143.4 decks per day

b. -38 decks per day.

Important information:A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. The calculation is as follows:

a.

For day 0 to day 5

[tex]= (1,283 - 2000) \div (5 - 0)\\\\= -717 \div 5\\\\= -143.4[/tex]

b.

For day 15 to day 20

[tex]= (338-528) \div (20-15)\\\\= -190 \div 5\\\\= -38[/tex]

Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults

Solve for c.

a (b – c) = d


a) c= d - ab/a

b) c= ab – d/b

c) c= ab – d/a

d) c= ab + d/а

Answers

The answer is c) c=ab-d/a

Answer:

C) c=ab-d/a

Step-by-step explanation:

just took the test

WILL GIVE BRAINLIEST
Subtract 9x^2+7x-2
from 8x-10

Answers

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

What is the answer please.... need help

Answers

Answer:

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

As the highest power of the x-variable is 3 with the leading coefficients of 1.

So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

[tex]0=x^3-6x^2+3x+10[/tex]              ∵  [tex]f(x)=0[/tex]

as

[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]

so

[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]    

Using the zero factor principle

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]

[tex]x=-1,\:x=2,\:x=5[/tex]

Therefore, the zeros of the function are:

[tex]x=-1,\:x=2,\:x=5[/tex]

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

In a catalog a dress was on sale for $49.56 this week. It regularly sells for $66.66. If the sales tax is 6% and shipping is below, what is the total amount you will save by ordering at the sale price?

Answers

Answer:

$18.13

Step-by-step explanation:

It is correct

Plz help it’s due tonight!!!!

Answers

Answer:

Sorry I can’t read it wish I could help man have a good day and be safe, wear a mask in public, sanit- jk! Just be kind to others and be safe love ya!

Step-by-step explanation:

Which example describes area

A. Measuring the height of the grass in a field.

B. Measuring the length around a field of grass

C. Measuring the length from one end of the field to the other

D. Measuring the amount of space that a field of grass takes up.

Answers

I believe C. Measuring the length from one end of the field tot he other would be the most reasonable answer, because Area = Length x Width

For questions 1 - 2, use the distributive property to find the product of the binomials.
1. (x - 4)(2x + 5)
2. (4x - 2)(x-3)

Please make is simple to understand.

Answers

Answer:

1).  2x^2-3x+20

2). 4x^2-14x+6

Step-by-step explanation:

1. (x-4)(2x+5)

FOIL:

(x)(2x)+5(x)-8(x)+(4)(5)

2x^2+5x-8x+20

=2x^2-3x+20

2. (4x-2)(x-3)

FOIL:

(4x)(x)-(3)(4x)-2(x)-2(-3)

4x^2-12x-2x+6

=4x^2-14x+6

help memememememe memememememe memememememe memememmeme

Answers

Answer:

43

Step-by-step explanation:

48/(2^3+4)*10.75

48/(8+4)*10.75

48/12*10.75

4*10.75

43

Answer:

It is 43

Step-by-step explanation:

Find three solutions for the linear equation 4x-3y = 1

PS. answer plsss​

Answers

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

The top view of a school bus showing the arrangement of the passenger seats is shown below: which of the following is the correct way of counting the total number of passenger seats in the bus

Answers

The correct way of counting the total number of passenger seats in this bus is: option C: 5 × 12 + 6.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship that exist between two or more numerical quantities.

How to calculate the total number of passenger seats?

In order to determine the total number of passenger seats, we would develop an expression that multiplies the rows by the columns and then add the remaining seats as follows:

Total number = (5 × 12) + 6

Total number = 60 + 6

Total number = 66 seats.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

The top view of a school bus showing the arrangement of the passenger seats is shown below. Which of the following is the correct way of counting the total number of passenger seats in the bus? An explanation is required.

Option A: 3 + 2 × 12 + 6

Option B: 6 - 1 × 13 + 1

Option C: 5 × 12 + 6

Option D: 2 + 3 × 13 - 12


PLEASE HELP URGENTLY!!! I WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT.

Answers

Answer:

f(-2) = -1

Step-by-step explanation:

Look at x = -2 and find the value of y.

please help me in this question​

Answers

Step-by-step explanation:

fifth row=19+4=23

sixth row= 23+4=27

Answer:

d

Step-by-step explanation:

x= previous term +4

7+4=11

11+4=15

15+4=19

19+4=23

23+4=27

hopefully this helps :)

which function does not have a vertical asymptote?

a. y=5x/x*x^2

b. y=5x/1+2x^2

c. y=5x-1/x

d. y=x/1-x^2

Answers

Answer:

B. y=(5x)/(1 + 2x^2)

Step-by-step explanation:

A. y = (5x)/(x * x^2)

Vertical Asymptotes: x = 0

B. y = (5x)/(1 + 2x^2)

Vertical Asymptotes: None

C. y = (5x - 1)/x

Vertical Asymptotes: x = 0

D. y = x/(1 - x^2)

Vertical Asymptotes: x = -1, 1

Write an expression that has a value of -8.

Answers

Answer/Step-by-step explanation:

[tex]-4^{3}[/tex]  ÷ 2  ÷ 4

-4 x -4 x -4 = -64 -64  ÷ 2 = -32 -32  ÷ 4 = -8
8-16=-8 why was the other one so complicated

hey help me pls:^
brainlisht​

Answers

Answer:

84

Step-by-step explanation:

plz mark brainliest

Answer:

the right answer of n is 84

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.​

Answers

It’s the third one

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

Of all the items on the pizza, enter the fraction that is mushrooms.



---------------

Answers

Answer:

2/3

Step-by-step explanation:

The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1

Answers

2x + 3 = 2y + 5, solve for x

2x = 2y + 2

x = y + 1

could anyone help with this, im terrible at geometry haha

Answers

Answer:

m<ACD = 90

m<CDB = 126

m<EDB = 54

m<CDE = 180

Step-by-step explanation:

Well you have the right girl! *In honors geometry you can trust me!

Ok first thing...We already know

B = 54

A = 90  

D = 54 (It's the Alternate interior angle of B)

C = 90

m<ACD = 90 (C = 90)

m<CDB = 126 (D = 54 ------> 180-54= 126)

m<EDB = 54 (Alternate Interior angle of B)

m<CDE = 180 (It is a straight line)

Hope this helps ya!!

Graph the line that represents the equation pls

Answers

(0,1)
(-3,3)
(-6,5)
(-9,7)
(3,-1)
(5,-3)
(9,-5)

What inequality is shown in the graph below?

Answers

Answer:

x > 2

Step-by-step explanation:

From the graph attached,

Given dotted line represents x = 2.

Since, given line is a dotted line, inequality represented by the dotted line will have the sign of greater than or less than (< or >) only.

Since, shaded region is on the right side of the dotted line shaded region will be represented by the inequality x > 2

Find an equivalent fraction for each.

Just do one answer

Answers

Answer:

3/100=0.03.

second one.

60/10=6.

Answer:

see below

Step-by-step explanation:

just cross multiply:

10 (x) = 3 (100)

x = 300 / 10

x = 30

same as above, just cross multiply:

100 (x) = 60 (10)

x = 600 / 100

x = 6

The wait times for two different rides are shown in the table. If there is a minute wait time how many people are in line for the Carousel?

Carousel - 6 minutes for 48 people in line
Swings - 12 minutes for 75 people in line​

Answers

Answer:

Step-by-step explanation:

5

in3runvn

Evaluate the expression 4(x - 3) + 7 using x=2

Answers

4x - 12 + 7
4x - 5
4(2) - 5
8 - 5
the answer is 3

Answer:

3

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

x=2 4(2-3)+7

P: (2-3)=-1

E:

M: 4(-1)=-4

D:

A: -4+7= 3

S:

4(2-3)+7=3

Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?

Answers

Answer:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

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