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
Can someone please help me?
garik1379 [7]
The answer is b). (0,0)
8 0
3 years ago
$44.398 round to the nearest cent
sladkih [1.3K]

Answer:

44.40

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk
Westkost [7]

\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0
3 years ago
A quarter is worth of a dollar. Haley needs to exchange dollar bills to get quarters to do her laundry in coin washers and dryer
Ira Lisetskai [31]

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

\$1=4 \ Quarters

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

Q=13\times 4\\\\=52

Hence, Hayley will get 52 quarters.

8 0
2 years ago
Evaluate the expression 3(7 + 4)2 − 24 ÷ 6
solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6  =<u> 66</u>  − 24 ÷ 6

Next, we solve divide,

66 − <u>24 ÷ 6</u> = 66 - <u>4</u>  

Next, solving the subtraction, 66 - 4    = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0
3 years ago
Other questions:
  • What is the mean of the prices below?
    15·2 answers
  • Which of the following is not in scientific notation?
    6·1 answer
  • Someone pls help ive been stuck for forever
    8·1 answer
  • 76.<br>175/50<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B175%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B50%7D%20%
    6·1 answer
  • Anyone can Help me<br> Anyone can Help me<br><br> Anyone can Help me
    15·2 answers
  • Pls help ASAP if you can please
    8·1 answer
  • Free 100 plus Brainliest to the first person
    6·2 answers
  • -8(y + 5) = -8y - 40 TRUE or FALSE
    5·1 answer
  • PLS HELP QUICK!!!
    9·2 answers
  • Why did they ban squatted trucks??
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!