Mathematics Middle School

What is 12x3 – 9x2 – 4x + 3 in factored form?

Answers

Answer 1

The factors of the given polynomial 12x^3-9x^2-4x+3 are

(4x-3) (3x^2-1).

Given: Polynomial 12x^3-9x^2-4x+3

We have factorized the given polynomial.

What is the meaning of factors?

The factor means a number that can be multiplied or divided to produce a given number.

Consider the given polynomial 12x^3-9x^2-4x+3.

We will factorize using a grouping of terms,

Taking 3x^2 common from the first two terms and -1 common from the last two terms, we have,

3x^2(4x-3)-1(4x-3)

Now, again taking (4x-3) common, we have,

(4x-3)(3x^2-1)

Thus, The factors of the given polynomial are (4x-3)(3x^2-1).

To learn more about the factors visit:

https://brainly.com/question/25829061#SPJ3

Answer 2

Final answer:

The factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

Explanation:

The expression 12x3 - 9x2 - 4x + 3 can be factored as follows:

First, identify any common factors among the terms. In this case, the greatest common factor (GCF) is 1.

Next, group the terms:

12x3 - 9x2 - 4x + 3 = (12x3 - 9x2) + (-4x + 3)

Factor out the GCF from each group:

12x3 - 9x2 = 3x2(4x - 3)

-4x + 3 = -1(4x - 3)

Combine the factored terms:

(3x2 - 1)(4x - 3)

Therefore, the factored form of 12x3 - 9x2 - 4x + 3 is (3x2 - 1)(4x - 3).

Related Questions

PLEASE HELP AND SHOW WORK!!

Answers

> multiply the second equation by 2 and add it to the first equation.
2(-6x - 7y = -10)
-12x -14y = -20

8x + 14y = 4
-12x - 14y = -20
--------------------
- 4x + 0 = - 16
x = -16/-4
x = 4

> use x = 4 in either equation to find y
8(4) + 14y = 4
32 + 14y = 4
14y = 4 - 32
14y = -28
y = -28/14
y = -2

8x + 14y = 4 | : 2
-6x - 7y = -10

4x + 7y = 2
-6x - 7y = -10

4x - 6x = 2 - 10
- 2x = - 8
2x = 8

x = 4

8x + 14y = 4

14 y = 4 - 8x
14y = 4 - 8*4
14y = 4 - 32

14y = 28

y = 2

a new television set was recently purchased for the common room in a Residence Hall for $492.20 including tax. If the tax rate is 7% ,find the price of the television before taxes

Answers

P+.07p=492.20
34.45
492.20-34.45=457.75

The price before tax was 457.75

-Lucky

A rectangle that is 21 inches long and 13 inches wide

Answers

To find the area you need to multiply length times width.

A= LxW
So what numbers would you multiply to get the answer?

The area of rectangular piece that is 21 inches long and 13 inches wide is 273 square inches

What is the Area of Rectangle?

The area of rectangle is -

A = L x B

Given is a rectangular piece that is 21 inches long and 13 inches wide

We can calculate the area using the formula -

Area = Length x Width

A = 21 x 13

A = 273 square inches

Hence, the area of rectangular piece that is 21 inches long and 13 inches wide is 273 square inches

To solve more questions on Areas, visit the link below-

brainly.com/question/21412891

#SPJ2

A concert hall seats 7,689 people.There were 8 concerts in June,and a ticket was sold for every seat.How many tickets were sold in June?

Answers

7689*8 is how many tickets are sold in June

61,512 tickets were sold

What is 35 written as a percent?

Answers

It is written as 35% or 0.35

Hope this helps!! :)

D=1/5fk solving for f

Answers

The answer would be [tex] \frac{5d}{k} [/tex].

First, we have to flip the equation.
[tex] \frac{1}{5}fk = d [/tex]

Last, we divide both sides by k/5.
[tex] \frac{\frac{1}{5}fk}{\frac{k}{5}} = [/tex] [text] \frac{d}{\frac {k}{5}} [/tex]
Answer: f = [tex] \frac{5d}{k} [/tex]

If a and b are even integers and c is an odd integer, which of the following would be an odd integer? a + b + c ab - bc a x b x c b x c c (a + b)

Answers

A. a + b + c: a + b is even. Add c to even to get odd.
B. ab - bc: both products are even, so the difference is even
C. a x b x c: a and b are even, so the product is even
D. b x c: b is even, so the product is even
E. c(a + b): a + b is even, so the product is even

Tony ran laps around a track to raise money for a hospital. Tony raised $15 plus $1.50 per lap that he ran. He raised a total of $255. Let x represent the number of laps Tony ran. What expression completes the equation to determine the total number of laps Tony ran? How many laps did Tony run? Enter your answers in the boxes.

Answers

x=(255-15)/1.50
x=140/1.50
x=160

Answer:

1.50/255 160 LAPS

Step-by-step explanation:

what is the measure of each angle in an equilateral triangle
a.45
b.60
c.90
d.120

Answers

i think the answer is b. 60

what number is 2 units left of -7 on a number line?

Answers

This like subtracting, if you move to units to the left then it would be -5.

$300 to $200 percent change
Can you show work too please? I am terrible at math.

Answers

you have 300 which changes to 200
if it was 300 to 150 that would be 50%
since 150/300=1/2
take 200/300=2/3 so about 66%

I absolutely love how this is a got-to website for kids who just need answers and work shown. like right now im in a math test and looking around.

40 is 160% of what number?

Answers

160% × ? = 40

40 ÷ 160% = 40 ÷ (160 ÷ 100) = (100 × 40) ÷ 160 = 4,000 ÷ 160 = 25.
The answer is 25.

writing this in equation form you have 160% times X = 40

so 160% * x =40

160% as a decimal = 1.60

so 1.60 * x = 40

to find x divide both sides by 1.6

40 /1.6 = 25

the number is 25

(2x) (4x^2 + 3)
A. 8x^2 + 3
B. 8x^3 + 6x
C. 8x^2 + 6x
D. 8x^3 + 3

Answers

The correct answer is B
(2x)(4x²+3)=

8x³ + 6x

If you have 8/12 of a pizza, how many thirds do you have?

Answers

You would have 2/3 because 4 can go into the numerator 2 which makes the numerator of your answer 2, then 4 goes into 12 4 Times which makes the denominator of your answer which is 3 so 2/3

You have two thirds in 8/12

Javeon has 27 chocolate bars. he wants to share them with 5 friends. Write the problem as a fraction and then solve.

Answers

27 divided by 5 = 27 1/5

Trey wrote 9.09-0.1=9.08.is his answer correct

Answers

No 9.09-.1=9.08 is not correct

He is not correct, because 9.09 - 0.1 = 8.99.

Round the nearest dollar amount of $34.57

Answers

34.60 or 35
Depends on what to round, tenths or hundreds....

.57 is closer to 100 than it is to 0. So you would round up to $35.

What is the APR of a payday loan for $1460 due in 15 days that charges a $90 fee?

Answers

The answer I got is 150%
90/15= $6
6*365= $ 2191.5
2191.5 / 1460 * 100=150%

Answer:

The answer is 150%

Step-by-step explanation:

Amount of pay day loan = $1460

Also given is that the payday loan for $1460 due in 15 days that charges a $90 fee.

Per day it will charge = [tex]\frac{90}{15}=6[/tex] dollars

For a year it will charge = [tex]365\times6=2190[/tex]

Thus for the due amount of $1460, it will be charged on a rate of =

[tex]\frac{2190}{1460} \times100[/tex] = 150%

Therefore, the APR is 150%.

How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters is not allowed?

Answers

There are 60 different three-letter "words" that can be made from the letters F, G, H, I, and J without repetition of letters. This can be calculated as a permutation of 5 choices for the first letter multiplied by 4 for the second and 3 for the third, resulting in 5 x 4 x 3 = 60 possible arrangements.

The question asks how many different three-letter "words" can be made from the five distinct letters F, G, H, I, and J, given that repetition of letters is not allowed. This is a problem of calculating permutations, where a permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For each letter position in a three-letter word, we choose a different letter from the five available, without repeating.

For the first letter, there are 5 choices (F, G, H, I, J). Once we have chosen the first letter, there are 4 remaining choices for the second letter. After choosing the first two letters, there are 3 choices left for the third letter. To find the total number of permutations, we multiply these choices together: 5 choices for the first letter x 4 choices for the second letter x 3 choices for the third letter, which equals 60. Therefore, there are 60 different three-letter words that can be made from the letters F, G, H, I, and J without repetition.

Somebody plz help me?!

Answers

The fewest gluesticks Martha can buy are 3.

This is because 3x10=30 (scissors)
And you get the same answer for gluesticks 10x3=30.

Solve equation for Y and graph it.
5y-x=20

How do I go about solving and graphing this equation.

Answers

So what you first want to do is isolate y.

This could be done by first adding x to both sides:

5y - x + x = 20 + x

5y = x + 20

Then divide everything by 5.

y = 1/5x + 4

Now to graph this equation:

Slope intercept form is y = mx + b.

b would be the y intercept and m the slope.

So therefore you know that 4 is the y intercept.

So first just plot the point (0, 4), and then from there you can take the slope and graph it from there. So basically, the y goes up by 1/5 each time the x goes up by 1. So then you could graph it by looking at where 5 is on the x axis and then graphing one above 4 from there, if that makes any sense.

Let's worry about graphing this first: 5y-x=20

If you set x = 0, then y = 4, and the y-intercept is then (0,4).
If you set y = 0, then x = -20, and the x-intercept is (-20,0).

Plot these 2 pts and then draw a str. line thru them. Done!

If you wish to solve 5y-x=20 for y:

1) add x to both sides: 5y = 20
2) divide both sides by 5: y = 4

Jackie had $135 to spend at the mall. She spent 29% of that money on a dress. Jackie spent $___ on the dress.

Answers

135 x 0.29 = 39.15; $39.15

Hope this helps,
♥Nikki♥

So here is a better explanation

?/135 = 29%/100

100? = 135 x 29 = 3915

100?/100 = 3915/100 = 39.15

Jackie spent 39.15$

W = 3x + 7y solve for y

Answers

3x+7y=213x+7y=21Since 3x3x does not contain the variable to solve for, move it to the right side of the equation by subtracting 3x3x from both sides.7y=−3x+217y=-3x+21Divide each term by 77 and simplify.

To solve for y, we need to isolate it. Start by moving all of the values on the side the y is on that don't have y to the other side (kind of confusing the way I said it). By that, I mean subtract 3x from both sides:

W = 3x + 7y
W - 3x = 7y

Now, divide both sides by 7 to find the value of y:

W - 3x = 7y
(W - 3x)/7 = y

Hope this helps! :)

The sum of 225 can be expressed as 200 + 25. Use the Distributive Property and GCF to rewrite the sum

Answers

To start, we have the expression 200+25 which represents the number 225. Now, to put this expression in distributive form, we're to find the greatest common factor (gcf) of 200 and 25 as according to the directions. This would be 25, since it is the largest factor of both 25 and 200. Then, we factor out 25 from both numbers and your answer should look like this: 25(8+1)

what is 2,117 divided by 3

Answers

Hello There!

You're answer is 705.6666667.

Hope This Helps You!
Good Luck :)

- Hannah ❤

The answer is 705.666666667
Hope this helps. :)

ted won 41 pieces pf gum playing basketball the country fair.at school he gave two to every students in his math class.he olny have 9 remaining.how many student are in the class

Answers

16 students are in his class.

x=number of students
2x+9=41
2x=32
x=16
There are 16 students in the class.

You are adding 6*3/4+3*2/3 using fraction strips.Explain how you rename the fraction part of the sum.pleeeeeeeeeaaase help : (

Answers

6 3/4 + 3 2/3
= 6 9/12 + 3 8/12
= 9 17/12
= 9+ 1 5/12 = 10 5/12

Express 4 8/9 as an improper fraction

Answers

the answer to the question is 44/9

Please help me with math please, they are number lines.

Answers

The answer is D because the inequality solves to x>/= to -4

To solve this you need to get x by itself, so to do this you simply subtract 3 from each side of the equation making it...

x >= -4

The arrow points to the right meanings that on the graph the arrow will go towards the right.

You could also think about it that x is greater than or equal to -4, so the arrow will be going towards the positive numbers from -4 meaning the arrow will go towards the right.

Also since it is greater than or equal to the circle will be a solid, filled in circle.

D is the answer

Hope this helps!

6•10^5 is how many times as large as 3•10^3

Answers

200 times greater because you take 6*10^5 and you get 600,000 then you find out 3*10^3 and it equals 3,000 so you take 600,000 and divide it by 3,000 and you get 200 and that is how many times greater it is.

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