Factoring with Diagrams
A(x) = x3 – 7x² – 16x +112, You know that
(x-7) is a factor.
x-
х
+3
-7
-72
Check your work
Write A(x) as the product of linear factors.

Answers

Answer 1

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

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

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          


Related Questions

3(6d + 1) = ?
How do I see what the d = to multiply it 3x6d but it doesn’t shows what the d= does the d = 1 since it’s only 1 d? Or how do I simplify this

Answers

Answer:

18d+3

Step-by-step explanation:

start with 3(6d+1)

separate the problem into 3(6d)+3(1)

simplify to get your answer:

18d+3

Answer:

18d + 3

Step-by-step explanation:

3 ( 6d + 1 )

= ( 3 x 6d ) + ( 3 x 1 )

= 18d + 3

The force (F) needed to cause the acceleration (a) of an object mass, m, is given by the equation, F=ma where m is the object's mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object's mass? The unit for this mass is kg.

Answers

Answer: the answer is 4 kg  

because your force was 12

and your accelerate was 3 m/s2

next .... you divide 12/3 and that =4kg

Step-by-step explanation:


7x + 3x - 18 = 6(x + 3)

Answers

Answer:

x=9, therefore 72=72

Step-by-step explanation:

I just distributed.

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6(x + 3) ← distribute parenthesis by 6

10x - 18 = 6x + 18 ( subtract 6x from both sides )

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

[tex]\red{ \boxed{ \blue{ \tt{Help\:Me}}}}[/tex]​

Answers

Answer:

You go to a job and get $352.15 a day. How much would you make in a month?

Answer: 352.15 x 31= 10,916.65

Hope this helps ^^

What is 6 + (4 x 2)=

Answers

Answer: 14

Step-by-step explanation: 4x2 = 8, 8 + 6 = 14

HELP LIKE ASAP! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT! :)

Answers

Answer:

V would be at (-4,5)

U would be at (-4,7)

T would be at (-9,7)

Answer:

V: (-4,5) U: (-4,7) T: (-9,7)

Step-by-step explanation:

reflect the shape across the x axis like a mirror

Hope this helps :)

Can someone check my answers and tell me if it’s right or not? Thank you so much :)

Answers

Answer:

yes i think u are correct

Step-by-step explanation:

Answer:

some are correct but some are not.

Step-by-step explanation:

You got to pay attention to all the negatives in the equations. Number 3 is incorrect. The reason is  you started the plot at positive 6 not negative 6

pls give the steps and the reasons

Answers

Answer:

Of what is there an equation?

Step-by-step explanation:

Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution

Answers

The new number has 4 zeros so the power was 4

Answer: 4

Answer:

4

Step-by-step explanation:

kaya started with 92

then multiplied it by

[tex]10 ^{x} [/tex]

[tex]92 \times {10}^{x} [/tex]

[tex]92 \times {10}^{x} = 920000[/tex]

divide both sides by the coefficient of

[tex] {10}^{x} [/tex]

[tex] {10}^{x} = \frac{920000}{92} [/tex]

[tex] {10}^{x} = 10000[/tex]

[tex] {10}^{x} = {10}^{4} [/tex]

since they both have the same numbers we can cancel the two 10

therefore:

x = 4

If p is true and q is false, what is the truth value of p or q?

1
0
true
false

Answers

Answer:

1 is the answer.............

can someone help me with this question plsss​

Answers

امبيه alef



which grade?

Answer:

74 people. the equation would be x=200(.37)

not too sure about the equation but it is 74 people,

please someone help meee. Giving brainliest!!

Answers

B and D are perfect squares.

Simply plug [tex]\sqrt{81}[/tex] and [tex]\sqrt{144}[/tex] into a calculator.

B explanation:

9 x 9 = 81

D explanation:

12 x 12 = 144

What are the values of x?

Answers

1) square root 74
2) 8.15
3) 39.2
4) 108.45

Answer:

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] or [tex]c=\sqrt{a^2+b^2}[/tex]

a & b are the sides

c is hypotenuse

1. [tex]9^2+5^2=c^2[/tex]

[tex]81+25=c^2[/tex]

[tex]106 = c^2[/tex]

[tex]c=\sqrt{106}[/tex]

c = 10.3 cm

And you keep doing that to the other triangles.

2. x = 8.1

3. x = 39.2

4. x = 108.5

Brainly plz :)

what is the slope to the graph below?

Answers

Slope is 3

Y=3x+2.75

A restaurant lost $305 last week from a lack of customers. This week the restaurant gained $53. How much money in total did they make or lose in the last two weeks combined?​

Answers

Answer:

-252

Step-by-step explanation:

it's just (-305) + 53

Gravity Versus Distance
What is the force of gravity on the rocket at the planet's surface?
What is the force of gravity on the rocket at a distance of two units (twice the planet's radius from its center)?
According to the graph, is the relationship between gravity and distance linear or nonlinear? Explain.
In general, how does the force of gravity pulling on the rocket change as the distance between it and the planet increases?
Estimate the force of gravity on the rocket at a distance of 5 units.

Answers

Answer:

How many feet are there in 150 centimeters? *

Are expressions equivalent to 3(62)?

Answers

Answer:

186

Step-by-step explanation:

What ratios are equivalent to 1/16

Answers

Answer:

1:6

Step-by-step explanation:

A part-to-whole ratio of 1:6 means that there is 1 of something and the total is 6. It also means that there are 5 of something else. To convert a Part-to-Whole ratio such as 1:6, you replace the colon with a fraction bar to get this answer:

1:6 → 1/6

2 less than the quotient of 56 and 7

Answers

Answer:

54 and 5

Step-by-step explanation:

56-2 is 54

7-5 is 2

have a good day my little friend learning his 1st addition

Find angle x, and angle y

Answers

Answer:

x=40

y=40

Step-by-step explanation:

hlo there!

as the given is 90 ° in fig;

90+50+x= 180°( sum of angle of traingle)

x=180-140

x=40°

as there is alternate angle.

lets suppose the alternate angle of x is z

z=40°

now'

40 + 100+ y=180°( sum of angleof traingle)

y=40°

hope it helps!

(4m-5)°
(3m+3)
Solve for m

Answers

4m-5+3m+3=180

COMBINE LIKE TERMS

4m-2+3m=180

7m-2=180

move integers to the other side

180+2=182

182/7=26

m=26

(v4-4v³-4v²+4)÷(v-1)

Answers

Answer:

Step-by-step explanation:

Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?

Answers

Answer:

81 stamps

Step-by-step explanation:

Here we will use the AP formula

We know that

a_n = a + (n - 1)d

a = first term = 5

n = number of terms = 20

d = common difference = 9 - 5 = 4

On putting values

=> a_20 = 5 + (20 - 1)4

=> a_20 = 5 + (19)4

=> a_20 = 5 + 76

=> a_20 = 81

Therefore,

She will have 81 stamps after 20 days

[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]

Here we have,

first term (a) = 5

no. of terms (n) = 20

common difference (d) = 9 - 5 = 4

[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]

Hence, there will be 81 stamps after 20 days.

Josh filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
10.2, 13.75, 12
What is the total amount of gas Josh bought last week?

Answers

Okay so pretty much what you need to do is add the three numbers together in order to get your total. 10.2+13.75+12= 35.95 gallons. 35.95 would be the total amount of gallons of gas that was bought last week.

what is 3 +3 divded by 4

Answers

Answer:3/2

Step-by-step explanation: 3+3/4

6/4=3/2

Answer:

1.5

Step-by-step explanation:

3+3=6

6/4 =1.5


2. Walter bought a 21-pound bag of flour. He used 4.2 pounds of the flour.
He stored the rest of the flour in 2 2/5-pound portions. What is the number
of 2 2/5-pound portions he stored?

Answers

Hi, I did
21-4.2=16.8 left
Since he stored in 2 2/5 portions I converted 2 2/5 to 2.4 and did 16.8/2.4=7 therefore he stored the flour in 7 portions.

Hope this helps !

Help me out :,,,,D ples.

Answers

Answer:

l. write each answer by removing bracket and - like |-2| = 2

||.7.true

8.true

9.true

10. false

11. false

12. true

|||.13. 7

14.15

15.8

16.22

17.-8

18.8

19.16

20.555

HOPE IT HELPS U MARK ME AS BRAINLIEST PLEASE

look at the following numbers: -5, -6, 0, 6 Which pair of numbers has a sum of zero

Answers

Answer:

6 and -6 because the positive 6 equals out the negative 6.

can someone help me with this asap ? thanks !!

Answers

Answer:

domain = all real numbers

Step-by-step explanation:

An inequality is unnecessary in this situation... nor logically required.

Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance. Select True or False for each statement.

Answers

Answer:

Hey! Your answer to this question is False False, True True, False False!

Step-by-step explanation:

I just did it and got it right :D

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