Factor completely
4x^2 - 18x - 36

Answers

Answer 1

Answer: 2(2x + 3)(x - 6)

Step-by-step explanation: For any factoring problem you do, your first

task will be to determine if a GCF exists for the original polynomial.

If a GCF does exist, it must be factored out as the first step to the problem.

In the problem you see here, the 3 terms in

the original polynomial have a GCF of 2.

So a 2 must be factored out as your first step.

This leaves you with 2(2x² - 9x - 18).

This does not make your life a whole lot easier however

because you still have a coefficient on the x squared term.

Factoring from here, you get 2(2x + 3)(x - 6).

Answer 2

Answer:

2(x - 6)(2x + 3)

Step-by-step explanation:

There are a few steps to factoring depending on the polynomial.

Step 1. Factor our a common factor if possible.

Every term is divisible by 2, so factor out a 2.

4x^2 - 18x - 36 =

= 2(2x^2 - 9x - 18)

Step 2. We need to factor the quadratic trinomial.

Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.

Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.

We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.

We can try guessing, but instead, I will use the "ac" method.

Step A. Multiply coefficients ac:

ac = 2(-18) = -36

Step B. Now we need two numbers that add to b and multiply to ac.

We need two numbers that add to -9 and multiply to -36.

The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.

We now break up the middle term, -9x, using these two numbers.

= 2(2x^2 - 12x + 3x - 18)

Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.

= 2[2x(x - 6) + 3(x - 6)]

x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.

= 2[(x - 6)(2x + 3)]

= 2(x - 6)(2x + 3)


Related Questions

What is 3/13 of 91 ?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

21

▹ Step-by-Step Explanation

3/13 x 91/1

91/13 = 7

3/1 = 3

3 * 7 = 21

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━


Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
determine the numerical length of MN

Answer : MN =

Answers

Answer:

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

[tex] LM + MN = LN [/tex] (segment addition postulate)

[tex] 5x + 4x = 9 [/tex] (substitution)

Solve for x

[tex] 9x = 9 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{9}{9} [/tex]

[tex] x = 1 [/tex]

MN = 4x

plug in the value of x

MN = 4(1) = 4

what is the answer to 8 + a0 = 6

Answers

Answer:

im positive it = 6

Step-by-step explanation:

f(x)=-3x^2+9x-8 Find f(5)

Answers

Answer:

-38

Step-by-step explanation:

You replace the x with 5.

turns it into -3 (5)^2+9(5)-8

-3(25)+45-8

-75+45=-30-8=-38

-3(5)^2+9(5)-8

answer:

-38

An adult usually has 32 teeth. People sometimes lose some of their teeth. Pat has only 5/8 of her teeth left. How many teeth has she lost?

Answers

Answer:

twenty teeth

Step-by-step explanation:

32:8=4

4•5=20

Answer:

Pat has lost 12 teeth.

I got a calculator and divided 32 by 8, then timed that answer (4) by 3.

32 ÷ 8 = 4

4 x 3 = 12

If the question had asked how many teeth Pat has, the answer would be 20, but that isn't correct for this question. It asks how many teeth she has lost, and that would be 12.

hope this helps

The bells are adding a new room to their house. The room will be a cube with volume of 4,913 feet cubed. They are going to put in hardwood floors, and the contractor charged $5 per square foot. How much will the j hardwood floors cost?

Answers

Answer:

  $1445

Step-by-step explanation:

The side length of the room is the cube root of the volume of the cube:

  s = ∛4913 = 17 . . . . feet

The area of the floor is the square of this side length:

  A = (17 ft)² = 289 ft²

The cost of the floor is $5 for each square foot:

  cost = ($5/ft²)(289 ft²) = $1445

The hardwood floor will cost $1445.

2•2•2•2•2•3•3•3•3 in exponential form.

Answers

Answer:

2^5 and 3^4

Step-by-step explanation:

you can see there are 5 2's and 4 3's. so it would be 2^5 and 3^4

OK so the dots mean times so you can do 2x2x2x2x2x3x3x3x3 or you can do 2 with the number 5 on the corner x 3 with a 4 on the corner

Eastside Gym charges a $60 initial fee and $28.50 per month. Valley Gym charges $36 per month, and no initial fee. After how many months of use would Eastside cost less than Valley

Answers

answer: after 6 months

look at image. reflection across the x-axis​

Answers

Answer:

j  -4,-3  K  -2,0  L  2,-3  M  -1,-4

Step-by-step explanation:


3.) a + 40 = 0 What is the value of a?
a =

Answers

Answer:

a= -40

Step-by-step explanation:

Answer:

a = - 40

Step-by-step explanation:

a+40=0

First way:

Transpose 40 to the other side (to isolate a) - when transposing signs change ( from positive to negative)

Second way:

Subtract both side what 40 (to cancel 40 and isolate a)

* you have to always isolate variables

The coordinates of point T are (0,2). The midpoint of ST is (7, -4). Find the coordinates of point S.

Answers

Answer: The coordinates of point S is (14,-10).

Step-by-step explanation:

Midpoint of line joining [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :-

[tex](x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Given, The coordinates of point T are (0,2). The midpoint of ST is (7, -4).

Let (a,b) be the coordinates of point S.

Then,

[tex](7,-4)=(\dfrac{0+a}{2},\dfrac{2+b}{2})\\\\\Rightarrow\ 7=\dfrac{a}{2},\ \ \ -4=\dfrac{2+b}{2}\\\\\Rightarrow\ a=7\times 2= 14, \ \ 2+b= 2\times-4 =-8\\\\\Rightarrow\ a=14,\ \ \ 2+b=-8\\\\\Rightarrow\ a=14, \ b= -8-2=6--10\\\\\Rightarrow\ a=14,\ b=-10[/tex]

Hence, the coordinates of point S is (14,-10).

360, 180, 120, 90, _, _

find the next two terms

Answers

Answer:

the next terms would be 72 and 60

The next two term are :72 and 60

To get the next two term we are going to substract 1/2, 1/3, 1/4, 1/5, 1/6 from each sequence.

Sequence:360, 180,120,90

360-1/2×360

=360-180

=180

180-1/3×180

=180-60

=120

120-1/4×120

=120-30

=90

90-1/5×90

=90-18

=72

72-1/6×72

=72-12

=60

Inconclusion The next two term are :72 and 60

Learn more here:

https://brainly.com/question/19127951

Which of the following is true about a line? It has one endpoint. It has two endpoints. It has two dimensions. It has one dimension.

Answers

It has one dimension

The correct statements will be a line has only one dimension and two endpoints.

What is a line?

A line is simply an object in geometry that is characterized under zero width object that extends on both sides.

How to know which statements are true?We know that through two points one and only one line can be drawn.

So, from here we can see that a line has two endpoints.

We also know that the line has only one dimension.

Find more about "Lines" here: https://brainly.com/question/3493733

#SPJ2

solve by substitution y=2x-1 y=3x+1

Answers

Answer: x = -2

Step-by-Step Explanation:

Since the two expressions both equal y, you can set them equal to each other.

2x-1 = 3x+1

Subtract 2x from both sides.

-1 = x+1

Subtract 1 from both sides.

-2 = x

I NEED HELP DUE RIGHT NOW PLZZZZZ

Answers

the answer is A bc of this

F(x)=3x-6
X=-4






Need sender ASAP

Answers

Answer:

-18

Step-by-step explanation:

3(-4) - 6

-12 - 6 = -18

solve the equation below for x
2/3(x-18y)=6y​

Answers

Answer:

[tex]x = 27y[/tex]

Step-by-step explanation:

[tex]\dfrac{2}{3}(x - 18y) = 6y[/tex]

Multiply both sides by 3/2.

[tex]\dfrac{3}{2} \times \dfrac{2}{3}(x - 18y) = \dfrac{3}{2} \times 6y[/tex]

[tex]x - 18y = 9y[/tex]

Add 18y to both sides.

[tex]x = 27y[/tex]

Answer:

x=27y

Step-by-step explanation:

Which polynomials are in standard form?
Choose all answers that apply:
А
5 - 2x
B
24 – 8x2 – 16
523 + 4x4 – 3x + 1
D
None of the above

Answers

The answer is B
The point stated to prove this point is:
The correct answer is B

if its 10:24 a.m. and i need to finish my online school work by 12:50 pm how much time do i have to d do my work?

Answers

Answer:

14 hours and 26 minutes

Step-by-step explanation:

10 to 10 would be 12 hours so you add 2 more hours to get 14

50 - 24 in 26

16. 一人一号)
What is the answer to this

Answers

Answer:

one person one number

Step-by-step explanation:

Answer:

One person One number

Step-by-step explanation:

You probably don't need my answer but yeh

‼️Name the vertex and sides of the angle below

Answers

Vertex= D
Side=E
Side=F

Correct 8695.496 to five significant figures​

Answers

Answer:

8695.5

Step-by-step explanation:

you round the four to a five because the number behind it is greater than or equal to 5

hope that helps

Perform the indicated operation. 1 and 2/3 plus 5 and 3/8

Answers

Answer:

7  1/24

Step-by-step explanation:

1 2/3+5 3/8=?

first you need to find the least common multiple between 2/3 and 3/8.

the lcm would be 24, so 24 would be your new denominator for both fractions, but the numerators will change to how much you just multiplied each denominator by to get 24. 8x3 is 24, so you would multiply 3x3 to get the new numerator: 9. 3x8 is 24, so you multiply 2x8 to get the new numerator for that fraction:16.

so your new fractions are 1 16/24 + 5 9/24

now you add 16+9=25 (25/24, which becomes 1  1/24), so then you have another whole number: +1, and you add it to 5+1, so no it's 5+1+1=7

so the answer would be 7 1/24

Does (3, 4) lie on the line with equation 5x + 2y = 23?

Answers

Answer:

yes

Step-by-step explanation:

5(3) + 2(4) = 23 or you could just graph it to see.

yes it does land on the line!

Please help I don’t know this question .

Answers

x = 6

AB = 11

BC = 22

Hope that helps :)

Enter the number in standard notation.
7x 102=
PLEASE HELP FAST

Answers

Answer:714

Step-by-step explanation:

Answer:

714

Step-by-step explanation:

Is (6/5, 2) a solution to y = x + 4/5​

Answers

Answer:

Yes, it is.

Step-by-step explanation:

y = x + 4/5

2 = 6/5 + 4/5

2 = 10/5

2 = 2

Two equals two.

No, it is not. We know ordered pairs go like this: (x, y). If x is equal to 6.5, then we can do 6.5 + 4.5, which equals 11. If x is 6.5, then y should be 11, not 2.

Which of the following expressions is equivalent to 3 m ( m − 2 ) − ( m ^2 + 1 ) ?

Answers

Answer:

uh

Step-by-step explanation:

Answer:

me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.

Step-by-step explanation:

Find the elapsed time for a person who worked from:
11. 10:00 am to 7:00 pm
12. 5:45 am to 11:20 am
13.6:00 pm to 9:48 pm

Answers

Answer:

11. 9hrs

12. 5hrs 35min

13. 3hrs 48 min

Step-by-step explanation:

Makes it a bit easier if you convert to 24 hr time.

11. 10 - 19 is 9hrs

12. 545-1120 is 11-5 20-45 -> 6hrs -25min -> 5hrs 35min

13. 1800 - 2148 is 21-18 48-00 -> 3hrs 48 min

Answer:

11. 9h

12. 5h 35 min

13. 3h 48min

Step-by-step explanation:

11.

here,

time elapsed = ∆t = final time - initial time

= 7 pm - 10 am

= (12+7) h - 10 h {turn pm into am by adding 12 and converting both into hour and min}

= 9 h

12.

similarly,

time elapsed = ∆t = final time - initial time

= 11 h 20 min - 5 h 45 min

= 5 h 35 min

13.

similarly,

time elapsed = ∆t = final time - initial time

= 9 h 48min - 6 h

= 3h 58min

I HOPE IT HELPED YOU!

Four people have found the perimeter of a forest using different methods their results are given in the table Order them from least to greatest A)Jason,Mika,Leon B)Ashley,Jason,Leon C)Mika,Ashley,Jason,Leon D) Leon,Mika,Jason,Ashley

Answers

Answer:

LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)

Step-by-step explanation:

To order their perimeter from the least to the greatest, express all perimeters in decimals:

LEON = √17 - 2 = 4.1 - 2 = 2.1

MIKA = 1 + π/2 = 1 + 22/7*½ = 1 + 22/14 = 1 + 1.6 = 2.6

JASON = 12/5 = 2⅖ = 2.4

ASHLEY = 2.5

From least to greatest, we have: LEON (2.1), JASON (2.4), ASHLEY (2.5), MIKA (2.6)

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