MATHEMATICS COLLEGE

21x^3 - 9x^2 - 28x + 12
Completely factor
SHOW WORK

Answers

Answer 1
Answer:

Answer:

(7x - 2)(3x^2 - 4)

See below.

Step-by-step explanation:

21x^3 - 9x^2 - 28x + 12

3x^2(7x - 3) - 4(7x - 3)

The common factor in this is 7x - 3. Use the distributive property to bring it out.

(7x - 3) [(3x^2 ) - 4]

(7x - 3)(3x^2 - 4)

You could factor 3x^2 - 4 but most times, since you can't reduce this to an integer result, you just leave it as it is.

If you have to use surds then the answer could be

(7x - 3)(√3 - 2)(√3 + 2)
Answer 2
Answer:

Answer:

(7x-3) (3x^2-4)

Step-by-step explanation:

Related Questions

How to solve -2x-10x12=18
Consider the matrix shown below:
In January of 2003(group 1), 1188 out of 1500 spots were bare ground (no vegetation). Find the sample proportion of bare ground spots.
Find the slope of the line y=1
Plz help i dont understand and if u can help i will mark brainliest!!​

In the multiplication below, each of A, B andC represents a different digit. What is ABC?
A B C
X
3
В В В

Answers

The value of ABC is 340.

The multiplication problem can be written as follows:

ABC

x 3

-----

BBBB

The product of the two numbers is a 4-digit number, so the product of the units digits must be 4. Since 3 x 4 = 12, and the product of the units digits is 4, the units digit of the product is 4, and the carryover is 1.

The product of the tens digits must be a multiple of 10, since the product of the units digits is 4 and the carryover is 1. The only possibility is 3 x B = 1B, where B is an even digit. Since B is a single digit, the only even digit that works is 4. Therefore, B = 4, and the carryover is 1.

The product of the hundreds digits must be a multiple of 100, since the product of the tens digits is a multiple of 10 and the carryover is 1. The only possibility is 3 x A + 1 = 1A, where A is a digit greater than or equal to 3. Since A is a single digit, the only digit greater than or equal to 3 that works is 3. Therefore, A = 3, and the product of the hundreds digits is 10.

The product of the thousands digits must be 0, since the product of the hundreds digits is 10 and the carryover is 0. Therefore, C = 0.

Therefore, the value of ABC is 340.

For such more question on value

brainly.com/question/30390056

#SPJ2

Answer:

ABC = 148, 3*148 = 444

Step-by-step explanation:

We know that 111 = 3*  37, so all numbers of the form BBB has the factor 37.

So we need a multiple of 37 such thant when multiplied, we get three digits the same as the middle digit.

Try 4*37 = 148, 148*3 = 444, bingo, we got the right combination.

So ABC is 148.

there are 650 students in a school if the number of girls is 106 more than the boys how many boys are in the school​

Answers

There are 272 boys in the school

Answer:

boys = 272

Step-by-step explanation:

b = boys

g = girls

1) write two equations with the given informations:

g + b = 650

g = b + 106

2) substitute the value of g in the first equation:

b + 106 + b = 650

3) solve the equation for b

2b = 544

b = 272

4) substitute the value in the second equation

g = 272 + 106

g = 378

girls = 378

boys = 272

The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer:

A

Step-by-step explanation:

i took the test

If a number has 8 as a factor, then both 2 and 4 are factors

Answers

Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true

What is the area of this figure? :)

Answers

there are 4 semicircles, each radius is 8cm, so we get the total areas of these semicircles: 4×0.5×8^(2)π
and the square area: 16²
so the total area of figure: 16²+4×0.5×8^(2)π=256+128π

A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?​

Answers

The submarine would be 375 feet below sea level.

Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.
Other Questions
The mean income per person in the United States is $41,500, and the distribution of incomes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of $47,500 with a standard deviation of $10,600. At the .01 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average? (a) State the null hypothesis and the alternate hypothesis. H0: ? ? H1: ? > (b) State the decision rule for .01 significance level. (Round your answer to 3 decimal places.) Reject H0 if t > (c) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic (d) Is there enough evidence to substantiate that residents of Wilmington, Delaware have more income than the national average at the .01 significance level?
Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)O (4,-2)O(-5,4)O(-1,1)
Find the measure of angle b
You select two cards from a standard deck of 52 cards, one after the other. What is the probability that you select and ace then a king? A. 1/13B. 4/663C 2/13D 1/169