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
Norma-Jean [14]
2 years ago
10

What is the factorization of the polynomial below? 2x2 + 28x + 98 A. (x + 7)(x + 2) B. (x + 7)(x + 14) C. (2x + 7)(x + 7) D. 2(x

+ 7)(x + 7)
Mathematics
2 answers:
Delicious77 [7]2 years ago
7 0

Answer:

2(x+7)(x+7)

Step-by-step explanation:

Greetings,

The first thing to bear in mind:

2x²+28x+98

We need to find two Integer Numbers which product is 2*98=196

and a Sum between those two must be 28

Prime Factorize 196

196 | 2

98  |  2

49   |  7

7    |  7

1

So P(x) = (  14  ) *  (14   ) = 196

And S(x)  = (  14  )  +  (  14 ) = 28

2x²+28x+196x+98

Groupping it:

(2x²+28x)+(196x+98)

x(2x+1)+98(2x+1)

(2x+1)(x+98)

We can make it even simpler since 98=2*7² and we have 1 on the first parenthesis

Therefore,

2(x+7)(x+7) = (2x+1)(x+98) = 2x²+28x+98

scoray [572]2 years ago
5 0
2x^2 + 28x + 98 =
2(x^2 + 14x + 49) =
2(x + 7)(x + 7) <==
You might be interested in
Please help if you can!!!!
storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y  y = 15-x    substitute into second equation

1.5x + .75(15 - x) = 18    

You should get the correct answer for number of hot dogs if you solve this correctly.  Put your answer in the x + y =15 equation to get y.  Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

5 0
2 years ago
Compare the functions below:
rjkz [21]
f(x)\to y_{max}=4\\\\g(x)=4\cos(2x-\pi)-2\to y_{max}=2\\\\h(x)=-(x-5)^2+3\to y_{max}=3

Answer: a. f(x)
6 0
2 years ago
Read 2 more answers
Find the value of x in the diagram
Ksenya-84 [330]

Answer:

x = 21

Step-by-step explanation:

Based on the inscribed angle theorem, we would have:

120° = 2(3x - 3)°

Solve for x

120 = 2*3x - 2*3

120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

126 = 6x

Divide both sides by 6

126/6 = x

21 = x

x = 21

6 0
3 years ago
What is the value of 7 cubed (A) 14 (B) 21 (C) 49 (D) 343
LenaWriter [7]
The answer is d) 343
7 0
2 years ago
Read 2 more answers
The teacher kept track of how long it took students to finish a test. After 20 minutes, 3 students had finished the test.
spin [16.1K]
Well I would say 11 kids after 70 minutes
5 0
3 years ago
Other questions:
  • A box contains 3 plain pencils and 7 pens. A second box contains 9 color pencils and 3 crayons. One item from each box is chosen
    7·1 answer
  • What is the simplified diffrence of the following: 150y and 100y?
    15·1 answer
  • How to graph x squared plus 5
    5·1 answer
  • Can anyone help me? i need to provide work!!! 50 points and brainliest answer to whoever helps the most!
    7·1 answer
  • A demolition ball weighs 2 tons. What is the equivalent weight in ounces?
    13·1 answer
  • What is the relationship between CE and AD?<br> I’ll give brainly
    11·1 answer
  • If Dandelion the cat runs 35 feet in 0.8 seconds, what is the speed at which she is running?(1 point)
    9·1 answer
  • Help me pleaseeee :) for brainliest answer
    9·1 answer
  • How many terms of the sequence -9, -6, -3, ... must be<br> taken so that the sum is 66?
    10·2 answers
  • What is the experimental probability that a coin toss results in two heads showing?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!