1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
worty [1.4K]
2 years ago
12

Question 1,2, and 3 how do i factor those? Can you show the work and explain how?

Mathematics
1 answer:
DiKsa [7]2 years ago
5 0

1: 3n^{2}+9n+6

notice that each part is divisible by 3

3n^{2} ÷ 3 = n^{2}

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes 3(n^{2} +3n+2)

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

3(n^{2} +2n+n+2)

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is n^{2} +2n+n+2 and then each of those by 3, which is 3n^{2} +6n+3n+6 or 3n^{2}+9n+6, our origional equation

2: 28+x^{2} -11x

So I rewrote this as x^{2} -11x+28 (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

x^{2} -4x-7x+28

now we can factor out x from the first expression and -7 from the second

x(x-4)-7(x-4)

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to x^{2} -11x+28

3: 9x^{2} -12x+4

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as 3^{2} and 4 as 2^{2}, the equation becomes

3^{2} x^{2} -12x+2^{2}

now that 3^{2} x^{2} is ugly so it can be turned into (3x)^{2}

and -12x can be rewritten as -2*3x*2

so our equation now looks like (3x)^2-2*3x*2+2^{2}

There's a rule that says a^{2} -2ab+b^{2} = (a-b)^{2}

In our case, a=3x and b=2

<u><em>so the final answer is</em></u>

(3x-2)^2

You might be interested in
William found 3/5 of the pecan pie in the fridge and
spayn [35]

<em><u>ANSWER</u></em>

<em>Since </em><em>probably </em><em>part </em><em>of </em><em>the</em><em> </em><em>pie </em><em>was </em><em>already </em><em>eaten </em><em>therefore </em><em>we </em><em>find </em><em>the </em><em>fration </em><em>of </em><em>the </em><em>pie </em><em>in </em><em>the </em><em>beginning</em><em> </em><em>which </em><em>is</em>

<em>=</em><em> </em><em>1</em><em> </em>

<em>=</em><em> </em><em>5</em><em>/</em><em>5</em>

<em><u>Fraction </u></em><em><u>William </u></em><em><u>ate;</u></em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em> </em><em>of </em><em>1</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>of </em><em>5</em><em>/</em><em>5</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>5</em><em>/</em><em>5</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em>

<em> </em>

<em><u>CONCLUSION</u></em>

A fraction is a part of a whole so no matter how the fraction would increase or decrease the part William ate will remain the same

7 0
3 years ago
Elena's account balance with her parents is -5.50$ she adds a certain amount of money to her balance by mowing
8090 [49]

Answer:

big dawg

Step-by-step explanation:happy

4 0
3 years ago
Read 2 more answers
7. Write a rule for the linear function in the table.
Firdavs [7]

Answer:

i don´t understand

Step-by-step explanation:

i don´t understand

8 0
3 years ago
Which is the area of a circle with a circumference of 37.68 units (use 3.14)
stepladder [879]
1081637.6 when rounded to the nearest tenth
7 0
3 years ago
Write a description of -5a + 3 &gt; 1 inequality
Andrej [43]

The sum of -5a and 3 is greater than 1

6 0
2 years ago
Other questions:
  • A small school bus contains eight first-graders and ten second-graders. if two children are ill, what is the probability that at
    5·1 answer
  • A popular brand of pen is available in 6
    12·1 answer
  • Completing the square allows us to see the vertex of the quadratic equation's parabola. Explain why. 
    7·1 answer
  • Help me please,,,,,,,,,,,,,,,,
    14·1 answer
  • Cuales el numero menor que 34.969.387 y mayor que 34.969.385​
    7·1 answer
  • Write an equivalent fraction for 2/8. (Remember to find an equivalent fraction you need to either multiply or divide you numerat
    6·1 answer
  • Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
    14·1 answer
  • Determine the domain for the table below.
    6·1 answer
  • Unit 1: Functions
    9·1 answer
  • Kelly worked on a straight 8 % commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!